Factors Math Example 1

Follow the full solution, then compare it with the other examples linked below.

easy

List all factors of

56

1
Test divisors from 1 up to $\sqrt{56} \approx 7.5$ : $56 \div 1 = 56$ , $56 \div 2 = 28$ , $56 \div 4 = 14$ , $56 \div 7 = 8$ .
2
$56 \div 3$ , $56 \div 5$ , and $56 \div 6$ are not whole numbers.
3
Factors: $\{1, 2, 4, 7, 8, 14, 28, 56\}$ .

Answer

1, 2, 4, 7, 8, 14, 28, 56

To find all factors, test integers from 1 up to

\sqrt{n}

. Each divisor

d

that works gives a pair:

d

and

\frac{n}{d}

. This guarantees you find every factor.

About Factors

Whole numbers that divide evenly into a given number with no remainder—the 'building blocks' that multiply together to make it.

How many factors does [formula] have?

Is [formula] divisible by [formula]? Explain using divisibility rules.

List all factor pairs of [formula].