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437 LearnersLast updated on December 11, 2025

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:
2×110=220
4×55=220.


We divide 220 by numbers starting from 1 and see which number gives the remainder of 0.
220 ÷ 1=220
220 ÷ 2=110
220 ÷4=55
220 ÷5=44
220 ÷10=22
220 ÷ 11=20
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220 are the factors of 220.
The breaking down of numbers as prime factors is called prime factorization. The factors of 220 are:
220=22 x 5 × 11
A factor tree shows how a number can be parted down into prime factors. 220 is broken down into factors starting from 220, we stop at 5 and 11 as both are prime numbers.
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :(1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220.
Negative:(-1,- 2,- 4,- 5,- 10, -11, -20, -22,- 44,- 55, -110, and -220.)
While learning about factors of 220, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Find the product of pairs of numbers from the factors of 220.
220=2×110
220=4×55
Other possible pairs include:
220=5×44
220=10×22
220=11×20
We find the pairs by dividing 220 by its various factors to find complementary factor pairs.
Find the sum of all the positive factors of 220.
The sum of factors: 1+2+4+5+10+11+20+22+44+55+110+220=504
When we add the factors of 220 we get the total of 504.
List of factors: 1,2,4,5,10,11,20,22,44,55,110,220
Find the GCF of 220 and 330.
Factors of 220: 1,2,4,5,10,11,20,22,44,55,110,220
Factors of 330: 1,2,3,5,6,10,11,15,22,30,55,66,110,165,330
GCF: 110
The largest factor common to both numbers is 110.





