Factors of 217

The factors of 217 are 1, 7, 31, 217. It has 4 factors.

Factors of 217

Pick any whole number from 1 to 10,000.

217 = 7 \times 31

How to work it out

1
A factor of 217 is a whole number that divides it with nothing left over. You only need to test the numbers up to √217 ≈ 14.73; 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.
$217 = 7 \times 31$
4
Add all the factors: 1 + 7 + 31 + 217 = 256. Without 217 itself that is 39, so 217 is a deficient number.

LaTeX source of the formulas on this page

\[ 217 = 7 \times 31 \]

Factor	Pairs with	Product
1	217	1 × 217 = 217
7	31	7 × 31 = 217

What are the factors of 217?

The factors of 217 are 1, 7, 31, 217. It has 4 factors.

What are the prime factors of 217?

7, 31. As a product: 7 × 31.

How many factors does 217 have?

217 has 4 factors (2 factor pairs).

What is the sum of the factors of 217?

256.

Is 217 a prime number?

No. It is divisible by 7, so 217 = 7 × 31.