273 LearnersLast updated on May 26th, 2025
Factors of 360
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.
What are the factors of 360?
Factors are the numbers that help us divide things equally. Let’s learn about the Factors of 360 which are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 60, 72, 90, 120, 180, and 360. The number has both positive and negative integers that divide 360 without leaving any remainder
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How to find the factors of 360?
Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
Multiplication Method
In this method, we find pairs of numbers, which we multiply to get the desired number.
Example: Here are the factors of 360 by multiplication method:
2×180=360
4×90=360, and so on.
This means that 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 60, 72, 90, 120, 180, and 360 are the factors of 360.
Division Method
We divide 360 by numbers starting from 1 and see which number gives the remainder of 0.
360÷ 1=360
360 ÷2=180
360÷ 3=120
360 ÷4=90
360 ÷5=72
360 ÷6=60
360÷ 8=45
360÷ 9=40
360÷ 10=36
360 ÷12=30
360 ÷15=24
360 ÷18=20
360 ÷20=18
360÷ 24=15
360 ÷30=12
360 ÷36=10
360÷ 40=9
360 ÷60=6
360÷ 72=5
360÷ 90=4
360 ÷120=3
360 ÷180=2
360 ÷360=1
So the factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 60, 72, 90, 120, 180, and 360.
Prime Factorization
We write the number as the product of prime factors. The factors of 360 are:
360=23 x 32 × 5
Factor tree
A factor tree shows how a number can be parted down into prime factors.360 is broken down into three factors, 2
Factor pairs:
Positive and negative pairs:
A number should have both positive and negative factors can be written as factors:
Positive :(1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 60, 72, 90, 120, 180, and 360)
Negative:(−1,−2,−3,−4,−5,−6,−8,−9,−10,−12,−15,−18,−20,−24,−30,−36,−40,−60,−72,−90,−120,−180,−360)
Common Mistakes and How to Avoid Them in Factors of 360
While learning about factors of 360, students may likely make mistakes, to avoid a few mistakes 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.
Mistake 2
Forgetting the rules of divisibility
Students forget to apply the rules of divisibility, which may lead to improper results. To avoid this, they should practice the basic rules of divisibility.
Mistake 3
Thinking factors include decimal numbers.
Students list numbers like 3.5 or 79.5 as factors because they sometimes divide the number partially. Factors should always be whole numbers, for 158 factors are 1,2,79, and 158 are all integers.
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factors of 360 Examples
Problem 1
What is the sum of all the factors of 360?
We add all the factors of 360,
Sum:1+2+3+4+5+6+8+9+10+12+15+18+20+24+30+36+40+60+72+90+120+180+360=1080.
Explanation
The sum of all factors of 360 is 1080.
Problem 2
Multiply two factors of 360: 15 and 24.
15×24=360
Explanation
When you multiply the factors 15 and 24, you get 360. This verifies that both 15 and 24 are factors of 360.
Problem 3
Factorize the expression 360x+720.
To factorize the equation,
720 is the factor of 360
360x+720=360(x+2)
Explanation
After factorizing the expression 360x+720, we get 360(x+2)
Problem 4
If 360=aĂ—b, and a=15, what is b?
360 = a × b
Here a =15
360=15 × b
Divide 360 with 15
b= 360/15
b=24.
Explanation
When we multiply 360=ax b when ‘a’ is given as 15, the value of b is 24.
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FAQs on Factors of 360
1.What are the multiples of 360?
2.Is 360 a prime number?
3.Is 360 divisible by 4?
4.How many tens are there in 360?
5.Is 360 a perfect square?
6.How can children in United States use numbers in everyday life to understand Factors of 360?
7.What are some fun ways kids in United States can practice Factors of 360 with numbers?
8.What role do numbers and Factors of 360 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 360 skills?
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Important Glossaries for factors of 360
- Prime Factorization: It is a process of parting, down a number into its factors. For example: 2 × 79.
- 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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