244 LearnersLast updated on May 26th, 2025
Factors of 560
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 560?
Factors are the numbers that help us divide things equally without any leftovers. 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560 are the factors of 560. The number has both positive and negative integers that divide 560 without leaving any remainder.
How to find the factors of 560?
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 take two numbers and find the product of those two numbers to get the required number.
Example: 2×280=560, 4×140=560,7×80=560 and 8×70=560, which means, we get some factor pairs:
(1, 560), (2, 280), (4, 140), (7, 80), (8, 70), (10, 56), (14, 40), (16, 35), (20, 28).
Division Method
We divide 560 by numbers starting from 1 and see which number gives the remainder of 0.
560 ÷ 1=560
560 ÷2=280
560 ÷4=140
560 ÷8=70
So the factors are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560.
Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 560 are:
560=24 x 5 × 7
Factor tree
A factor tree shows how a number can be parted down into prime factors.560 is broken down into two factors, Start with 560, and break it into 2 and 280.
280 splits into 2 and 140, then 140 into 2 and 70.
Continue until only prime numbers are left: 2, 2, 2, 2, 5, 7.
Factor Pairs
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive pairs: (1, 560), (2, 280), (4, 140), (5, 112), (7, 80), (8, 70), (10, 56), (14, 40), (16, 35), (20, 28)
Negative pairs: (-1, -560), (-2, -280), (-4, -140), (-5, -112), (-7, -80), (-8, -70), (-10, -56), (-14, -40), (-16, -35), (-20, -28)
Common Mistakes and How to Avoid Them in Factors of 560
While learning about factors of 560, 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 560 Examples
Problem 1
Verify if 560 is divisible by 12.
For a number to be divisible by 12, it must be divisible by both 3 and 4.
Sum of digits: 5+6+0=115 + 6 + 0 = 115+6+0=11 → Not divisible by 3.
560÷4=140 → Divisible by 4.
Explanation
560 is not divisible by 3, it is not divisible by 12.
Problem 2
What is the least common multiple (LCM) of 560 and 70?
560 = 24 × 5 × 7,
70= 2 × 5 × 7
LCM= 2 4 × 5 × 7=560.
Explanation
The LCM of 560 and 70 is 560.
Problem 3
Find the GCF of 560 and 168.
Factors of 560:1,2,4,…,560
Factors of 168: 1,2,4,…,168
The largest common factor is 56.
GCF(560, 168) = 56
Explanation
The largest factor common to both numbers is 56.
FAQs on Factors of 560
1.What is the negative pair of 560?
2.Is 560 a multiple of 8?
3.Is 560 a perfect square?
4.Is 560 a multiple of 60?
5.What are the factors of 360?
Important Glossaries for Factors of 560
- Prime Factorization: It is a method of splitting down a number into its factors. For example:560=24 x 5 × 7
- 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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