Factors of 363

3, 11. As a product: 3 × 11^2.

The factors of 363 are 1, 3, 11, 33, 121, 363. It has 6 factors.

Factors of 363

Pick any whole number from 1 to 10,000.

363 = 3 \times 11^{2}

How to work it out

1
A factor of 363 is a whole number that divides it with nothing left over. You only need to test the numbers up to √363 ≈ 19.05; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$363 = 3 \times 11^{2}$
4
Add all the factors: 1 + 3 + 11 + 33 + 121 + 363 = 532. Without 363 itself that is 169, so 363 is a deficient number.

LaTeX source of the formulas on this page

\[ 363 = 3 \times 11^{2} \]

What are the factors of 363?

The factors of 363 are 1, 3, 11, 33, 121, 363. It has 6 factors.

What are the prime factors of 363?

3, 11. As a product: 3 × $11^{2}$ .

How many factors does 363 have?

363 has 6 factors (3 factor pairs).

What is the sum of the factors of 363?

532.

Is 363 a prime number?

No. It is divisible by 3, so 363 = 3 × 121.