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. 

Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
 

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).
 

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.

The breaking down of numbers as prime factors is called prime factorization. The factors of 560 are:
560=2⁴ x 5 × 7

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.
 

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)
 

• 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.