Factors of 667

The factors of 667 are 1, 23, 29, 667. It has 4 factors.

Factors of 667

Pick any whole number from 1 to 10,000.

667 = 23 \times 29

How to work it out

1
A factor of 667 is a whole number that divides it with nothing left over. You only need to test the numbers up to √667 ≈ 25.83; 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.
$667 = 23 \times 29$
4
Add all the factors: 1 + 23 + 29 + 667 = 720. Without 667 itself that is 53, so 667 is a deficient number.

LaTeX source of the formulas on this page

\[ 667 = 23 \times 29 \]

Factor	Pairs with	Product
1	667	1 × 667 = 667
23	29	23 × 29 = 667

What are the factors of 667?

The factors of 667 are 1, 23, 29, 667. It has 4 factors.

What are the prime factors of 667?

23, 29. As a product: 23 × 29.

How many factors does 667 have?

667 has 4 factors (2 factor pairs).

What is the sum of the factors of 667?

720.

Is 667 a prime number?

No. It is divisible by 23, so 667 = 23 × 29.