The factors of a number are the building blocks that can be multiplied together to produce that exact number. Finding factors is a crucial skill for simplifying fractions and algebra.
We know 56 is not divisible by 3 because of the divisibility rule: Add the digits (5 + 6 = 11). Since 11 is not in the 3 times table, 56 is not divisible by 3.
A fast way to check if a number is divisible by 4 is if you can cut it in half twice. (Half of 56 is 28. Half of 28 is 14. Yes, it works).
The number 56 has exactly 8 positive factors. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.
The easiest way to find factors is to find their pairs. What two whole numbers multiply together to make 56?
If we want to break 56 down into only Prime Numbers (numbers that cannot be divided further):
If you add them all together: 1 + 2 + 4 + 7 + 8 + 14 + 28 + 56 = 120.
Factors of 100
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100. Prime factorisation = 2² × 5². Total 9 factors. All factor pairs listed. Class 5–7 Maths.
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