221 LearnersLast updated on May 26th, 2025
Factors of 220
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two numbers multiplied are factors. You can think of factors as the building blocks to help you make numbers.
What are the factors of 220?
Factors are the numbers that help us divide things equally without any leftovers. The numbers 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220 are the factors of 220. The number has both positive and negative integers that divide 220 without leaving any remainder.
How to find the factors of 220?
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
Finding Factors Using Multiplication
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.
Finding Factors by Division Method
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.
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 220 are:
220=22 x 5 × 11
Factor tree
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.
Factor Pairs
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.)
Common Mistakes and How to Avoid Them in Factors of 220
While learning about factors of 220, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 220 Examples
Problem 1
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
Explanation
We find the pairs by dividing 220 by its various factors to find complementary factor pairs.
Problem 2
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.
Explanation
List of factors: 1,2,4,5,10,11,20,22,44,55,110,220
Problem 3
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
Explanation
The largest factor common to both numbers is 110.
FAQs on Factors of 220
1.Is 220 a multiple of 11?
2.Is zero a multiple 3?
3.Is 220 a perfect square?
4.What number is 220 a multiple of 25?
5.How can children in Qatar use numbers in everyday life to understand Factors of 220?
6.What are some fun ways kids in Qatar can practice Factors of 220 with numbers?
7.What role do numbers and Factors of 220 play in helping children in Qatar develop problem-solving skills?
8.How can families in Qatar create number-rich environments to improve Factors of 220 skills?
Important Glossaries for Factors of 220
- Prime Factorization: It is a method of splitting down a number into its factors. For example: 220=22 × 5 × 11
- Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
- Even number: A number that when divided by 2 gives a whole number.
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