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210 LearnersLast updated on December 10th, 2024
Factors of 85
Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors 85 easily.
What are the Factors of 85?
Factors of 85 are those numbers that can divide 85 perfectly. The factors of 85 are:
1,5,17 and 85.
Negative factors of 85: -1, -5, -17, -85.
Prime factors of 85: 5,17
Prime factorization of 85: 5×17
The sum of factors of 85: 1+5+17+85 = 108
How to Find the Factors of 85
For finding factors of 85, 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 85. Let us find the pairs which, on multiplication, yields 85.
1×85=85
5×17=85
From this, we conclude that, factors of 85 are: 1,5,17, and 85.
Finding Factors using Division Method
The division method finds the numbers that evenly divides the given number 85. To find the factors of 85, we have to divide 85 by all possible natural numbers less than 85 and check.
1,5,17,85 are the only factors that the number 85 has. So to verify the factors of 85 using the division method, we just need to divide 85 by each factor.
85/1 =85
85/5 =17
85/17=5
85/85=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 85 into a product of its prime integers.
- Prime Factors of 85: 5,17.
- Prime Factorization of 85: 5×17
Factor tree
The number 85 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 85.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 85 are 5 and 17.
Factor Pairs:
Positive pair factors: (1,85), (5,17)
Negative pair factors: (-1,-85), (-5,-17).
Common Mistakes and How to Avoid Them in Factors of 85
Factors of 85 Examples
Problem 1
The LCM of two numbers is 85 and their GCF is 5. If one of the numbers is 25, find the other.
Explanation
Problem 2
Find the simplest form of square root of 85.
Explanation
Problem 3
The area of a rectangle is 85 square units. If the length is 17 units, then what is the measure of its width?
Explanation
Problem 4
Find the smallest number that is divisible by 5 and 85.
Explanation
Problem 5
If a number is divisible by both 5 and 17, is it divisible by 85?
Explanation
FAQs on Factors of 85
1.Can 85 be divided evenly?
2.What is the factor tree of 85?
3.What is the highest common factor of 85?
4.Is 85 divisible by 3?
5.Is 85 a prime number or composite number?
Important Glossaries for Factors of 85
- Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.
- Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.
- 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.
