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158 LearnersLast updated on December 10th, 2024
Factors of 170
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.
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
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
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
So, factors of 170 are: 1,2,5,10,17,34,85, and 170.
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
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
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.
Factor Pairs
Positive pair factors: (1,170), (2,85), (5,34), (10,17).
Negative pair factors: (-1,-170), (-2,-85), (-5,-34), (-10,-17).
Common Mistakes and How to Avoid Them in Factors of 170
Factors of 170 Examples
Problem 1
Find the GCF of 85 and 170
Explanation
Problem 2
Find the smallest number which, when divided by 17,34 and 85, leaves a remainder 3 in each case.
Explanation
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?
Explanation
Problem 4
Find the smallest number that is divisible by 2,5,34.
Explanation
Problem 5
What is the sum of the factors of 170 and 175?
Explanation
FAQs on Factors of 170
1.What is the factor tree of 170?
2.What is the LCM of 170 and 238?
3. List out the first 5 multiples of 170.
4.Is 170 a multiple of 10?
5.What are the 5 multiples of 17?
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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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.
Fun Fact
: She loves to read number jokes and games.
