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Last updated on May 26th, 2025

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Factors of 170

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Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 170. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 170.

Factors of 170 for UAE Students
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What are the Factors of 170?

The factors of 170 or the numbers which divide 170 exactly are:


1,2,5,10,17,34,85, and 170.


Negative factors of 170: -1,-2,-5,-10,-17,-34,-85,-170.


Prime factors of 170: 2,5,17


Prime factorization of 170: 2×5×17


The sum of factors of 170: 1+2+5+10+17+34+85+170= 324
 

Professor Greenline from BrightChamps

How to Find the Factors of 170

For finding factors of 170, we will be learning these below-mentioned methods:

 

  • Multiplication Method

 

  • Division Method

 

  • Prime Factor and Prime Factorization

 

  • Factor Tree
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Finding Factors using Multiplication Methods

This particular method often finds the pair of factors which, on multiplication together, produces 170. Let us find the pairs which, on multiplication, yields 170.


1×170=170


2×85=170


5×34=170


10×17=170

Factors of 170 by multiplication method
So, factors of 170 are: 1,2,5,10,17,34,85, and 170.
 

Professor Greenline from BrightChamps

Finding Factors using Division Method

The division method finds the factors that evenly divides the given number 170. In this process, we have to divide 170 by all possible natural numbers less than 170 and check.


1,2,5,10,17,34,85, and 170 are the only factors that the number 170 has. So to verify the factors of 170 using the division method, we just need to divide 170 by each factor.


170/1 =170


170/2=85


170/5=34


170/10=17


170/17=10


170/34=5


170/85=2


170/170=1
Factors of 170 by the division method

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Prime Factorization is the easiest process to find prime factors. It decomposes 170 into a product of its prime integers.


Prime Factors of 170: 2,5,17.


Prime Factorization of 170: 2×5×17
 

Professor Greenline from BrightChamps

Factor tree

The number 170 is written on top and two branches are extended.


Fill in those branches with a factor pair of the number above, i.e., 170.


Continue this process until each branch ends with a prime factor (number).


The first two branches of the factor tree of 170 are 2 and 85, then proceeding to 85, we get 5 and 17. So, now the factor tree for 170 is achieved. 
Factors of 170 using factor tree

Professor Greenline from BrightChamps

Factor Pairs

Positive pair factors:   (1,170), (2,85), (5,34), (10,17).


Negative pair factors:  (-1,-170), (-2,-85), (-5,-34), (-10,-17).
 

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Common Mistakes and How to Avoid Them in Factors of 170

Solving problems based on factors can, sometimes, lead to misconceptions among children. Let us check what the common errors are and how to avoid them.
 

Mistake 1

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Factors might be larger than the given number.
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Factors can never be larger than the given number, but multiples can be. You need to understand the concept that factors are integers which divide a given number perfectly, and multiples are the products we get when the original number is multiplied with different numbers.
 

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Factors of 170 Examples

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Problem 1

Find the GCF of 85 and 170

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Factors of 170: 1,2,5,10,17,34,85,170


Factors of 85: 1,5,17,85


Common factors of 85 and 170: 1,5,17,85


So, the Greatest Common Factor of 85 and 170 is 85.


Answer: 85
 

Explanation

We first listed out the factors of 85 and 170 and then found the common factors and then identified the greatest common factor from the common list. 

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Problem 2

Find the smallest number which, when divided by 17,34 and 85, leaves a remainder 3 in each case.

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 First finding the LCM of 17,34,85


Prime factorization of 17 =17×1


Prime factorization of 34 = 17×2


Prime factorization of 85 = 5×17


LCM of 17,34,85 = 17×2×5=170


The smallest number which, when divided by 17,34 and 85, leaves a remainder 3 in each case is = LCM + 3 = 170+3 =173


Answer: 173
 

Explanation

First find the LCM and just add the remainder with that to get the smallest number.
 

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Problem 3

The area of a rectangle is 170 square units. If the length is 34 units, then what is the measure of its width?

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Area of rectangle: 170 sq units


Factors of 170: 1,2,5,10,17,34,85,170


We know that the area of a rectangle is the product of its length and breadth.


Given, length= 34 units


There exists a factor pair of 170, which is (5,34). Hence, width is 5 units. Let’s check it through the formula for area.
So, length×width = area


⇒ 34 × width = 170


⇒ width = 170/34 = 5


Answer: 5 units
 

Explanation

Used the concept of factor pairs for 170 and rechecked using the formula for finding area of a rectangle.
 

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Problem 4

Find the smallest number that is divisible by 2,5,34.

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Prime factorization of 2: 2×1.


Prime factorization of 5: 5×1


Prime factorization of 34: 17×2

 

LCM of 2,5,34: 2×5×17 = 170


Answer: 170 is the smallest number which is divisible by 2,5, and 34.
 

Explanation

To find the smallest number which is divisible by 2,5,34, we need to find the LCM of these numbers.
 

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Problem 5

What is the sum of the factors of 170 and 175?

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Factors of 170: 1,2,5,10,17,34,85,170


Sum of the factors: 1+2+5+10+17+34+85+170= 324

 

Factors of 175: 1,5,7,25,35,175
 

Explanation

Sum of the factors: 1+5+7+25+35+175=248
 

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FAQs on Factors of 170

1.What is the factor tree of 170?

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2.What is the LCM of 170 and 238?

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3. List out the first 5 multiples of 170.

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4.Is 170 a multiple of 10?

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5.What are the 5 multiples of 17?

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6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 170?

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7.What are some fun ways kids in United Arab Emirates can practice Factors of 170 with numbers?

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8.What role do numbers and Factors of 170 play in helping children in United Arab Emirates develop problem-solving skills?

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9.How can families in United Arab Emirates create number-rich environments to improve Factors of 170 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 170

  • Multipliers - Number which multiplies or a number by which another number is multiplied.

 

  • Dividers - A number that divides.

 

  • Prime Factorization - It involves factoring the number into its prime factors.

 

  • Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

 

  • Composite numbers - These are numbers having more than two factors.

 

  • Multiple - It is a product of the given number and any other integer.
     
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About BrightChamps in United Arab Emirates

At BrightChamps, numbers are more than just symbols—they open up a world of chances! We’re dedicated to helping children throughout the UAE build strong math skills, focusing today on Factors of 170 with an emphasis on factors—in a way that’s fun, clear, and engaging. Whether your child is figuring out the speed of a ride at Dubai Parks and Resorts, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning straightforward and fun. Because kids in the UAE have different learning styles, we tailor our teaching to each child. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life across the UAE. Let’s turn factors into an exciting part of every child’s math journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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