Factors of 1007

The factors of 1007 are 1, 19, 53, 1007. It has 4 factors.

Factors of 1007

Pick any whole number from 1 to 10,000.

1007 = 19 \times 53

How to work it out

1
A factor of 1007 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1007 ≈ 31.73; 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.
$1007 = 19 \times 53$
4
Add all the factors: 1 + 19 + 53 + 1007 = 1080. Without 1007 itself that is 73, so 1007 is a deficient number.

LaTeX source of the formulas on this page

\[ 1007 = 19 \times 53 \]

Factor	Pairs with	Product
1	1007	1 × 1007 = 1007
19	53	19 × 53 = 1007

What are the factors of 1007?

The factors of 1007 are 1, 19, 53, 1007. It has 4 factors.

What are the prime factors of 1007?

19, 53. As a product: 19 × 53.

How many factors does 1007 have?

1007 has 4 factors (2 factor pairs).

What is the sum of the factors of 1007?

1080.

Is 1007 a prime number?

No. It is divisible by 19, so 1007 = 19 × 53.