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153 LearnersLast updated on November 29th, 2024
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
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
factors of 360 Examples
Problem 1
What is the sum of all the factors of 360?
Explanation
Problem 2
Multiply two factors of 360: 15 and 24.
Explanation
Problem 3
Factorize the expression 360x+720.
Explanation
Problem 4
If 360=a×b, and a=15, what is b?
Explanation
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?
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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