Factors of 407

The factors of 407 are 1, 11, 37, 407. It has 4 factors.

Factors of 407

Pick any whole number from 1 to 10,000.

407 = 11 \times 37

How to work it out

1
A factor of 407 is a whole number that divides it with nothing left over. You only need to test the numbers up to √407 ≈ 20.17; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 4 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$407 = 11 \times 37$
4
Add all the factors: 1 + 11 + 37 + 407 = 456. Without 407 itself that is 49, so 407 is a deficient number.

LaTeX source of the formulas on this page

\[ 407 = 11 \times 37 \]

Factor	Pairs with	Product
1	407	1 × 407 = 407
11	37	11 × 37 = 407

What are the factors of 407?

The factors of 407 are 1, 11, 37, 407. It has 4 factors.

What are the prime factors of 407?

11, 37. As a product: 11 × 37.

How many factors does 407 have?

407 has 4 factors (2 factor pairs).

What is the sum of the factors of 407?

456.

Is 407 a prime number?

No. It is divisible by 11, so 407 = 11 × 37.