Factors of 1029

The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. It has 8 factors.

Factors of 1029

Pick any whole number from 1 to 10,000.

1029 = 3 \times 7^{3}

How to work it out

1
A factor of 1029 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1029 ≈ 32.08; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 8 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1029 = 3 \times 7^{3}$
4
Add all the factors: 1 + 3 + 7 + 21 + 49 + 147 + 343 + 1029 = 1600. Without 1029 itself that is 571, so 1029 is a deficient number.

LaTeX source of the formulas on this page

\[ 1029 = 3 \times 7^{3} \]

What are the factors of 1029?

The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. It has 8 factors.

What are the prime factors of 1029?

3, 7. As a product: 3 × $7^{3}$ .

How many factors does 1029 have?

1029 has 8 factors (4 factor pairs).

What is the sum of the factors of 1029?

1600.

Is 1029 a prime number?

No. It is divisible by 3, so 1029 = 3 × 343.