Last updated on May 26th, 2025
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
Factors are the numbers that help us divide things equally without any leftovers.1,2,79 and 217 are the factors of 217. The number has both positive and negative integers that divide 217 without leaving any remainder.
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example:
2×79=217
1×217=217
This shows that 1, 2,79, and 217 are the factors of 217.
We divide 217 by numbers starting from 1 and see which number gives the remainder of 0.
217 ÷1=217
217 ÷ 2=79
217 ÷ 79=2
217 ÷ 217=1
So the factors are 1,2,79 and 217.
The breaking down of numbers as prime factors is called prime factorization. The factors of 217 are:
217=7x31
A factor tree shows how a number can be parted down into prime factors.217 is broken down into two factors, 2 and 79.
The factors of a number will have both the positive and negative numbers:
Positive :(1,2,79,217)
Negative:(-1,-2,-79,-217)
While learning about Factors 217, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Is 217 divisible by 3?
Divisibility Rule for 3: Sum of digits = 2+1+7=102 + 1 + 7 = 102+1+7=10 (not divisible by 3)
No, we cannot divide 217 by 3.
If the sum of the digits is not divisible by 3, the number is also not.
Identify the GCF of 217 and 62.
Factors of 217: 1,7,31,217
Factors of 62: 1,2,31,62
GCF = 31 (the largest common factor).
31 is the GCF of 217 and 62.
Find the GCF of 217 and 316.
Factors of 217: 1,2,79,217
Factors of 316: 1,2,4,79,217,316
GCF = 217
The largest factor common to both numbers is 217