Factors of 1648

2, 103. As a product: 2^4 × 103.

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648. It has 10 factors.

Factors of 1648

Pick any whole number from 1 to 10,000.

1648 = 2^{4} \times 103

How to work it out

1
A factor of 1648 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1648 ≈ 40.60; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 10 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1648 = 2^{4} \times 103$
4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 103 + 206 + 412 + 824 + 1648 = 3224. Without 1648 itself that is 1576, so 1648 is a deficient number.

LaTeX source of the formulas on this page

\[ 1648 = 2^{4} \times 103 \]

What are the factors of 1648?

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648. It has 10 factors.

What are the prime factors of 1648?

2, 103. As a product: $2^{4}$ × 103.

How many factors does 1648 have?

1648 has 10 factors (5 factor pairs).

What is the sum of the factors of 1648?

3224.

Is 1648 a prime number?

No. It is divisible by 2, so 1648 = 2 × 824.