Factor Calculator

Factors of 832

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832. In total, 832 has 14 factors. Its prime factorization is 2⁶ × 13, and the sum of all its factors is 1778.

All factors of 832

Here are all 14 factors of 832, listed from smallest to largest.

1248131626325264104208416832

Factor pairs of 832

These 7 pairs of whole numbers each multiply to give 832.

1 × 832 = 832
2 × 416 = 832
4 × 208 = 832
8 × 104 = 832
13 × 64 = 832
16 × 52 = 832
26 × 32 = 832

Prime factorization of 832

Dividing 832 by the smallest prime at each step gives its prime factorization:

832 ÷ 2 = 416
416 ÷ 2 = 208
208 ÷ 2 = 104
104 ÷ 2 = 52
52 ÷ 2 = 26
26 ÷ 2 = 13
13 ÷ 13 = 1
Result: 832 = 2 × 2 × 2 × 2 × 2 × 2 × 13 = 2⁶ × 13

The distinct prime factors of 832 are 2, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 832

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 832832241622082104252226213
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 832

Number of factors14
Sum of factors1778
Sum of proper factors946
Prime factorization2⁶ × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 832 interesting

  • 832 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 7 different ways.
  • 832 is an abundant number: its proper factors sum to 946, which is 114 more than 832 itself.

How to find the factors of 832 yourself

Divide 832 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √832 ≈ 28.84, because every factor above that pairs with one below it.

832 ÷ 1 = 832 ✓
832 ÷ 2 = 416 ✓
832 ÷ 4 = 208 ✓
832 ÷ 8 = 104 ✓
832 ÷ 13 = 64 ✓
832 ÷ 16 = 52 ✓
832 ÷ 26 = 32 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. The factor calculator does this automatically for any number.

Numbers mathematically connected to 832.

Frequently asked questions about 832

What are the factors of 832?

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832. That is 14 factors in total, counting both 1 and 832.

Is 832 a prime number?

No, 832 is not prime — it is a composite number with 14 factors. A prime number has exactly two factors, but 832 is also divisible by 2.

What is the prime factorization of 832?

The prime factorization of 832 is 2⁶ × 13. Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 13 = 832. Its distinct prime factors are 2, 13.

What two numbers multiply to give 832?

There are 7 pairs of whole numbers that multiply to 832: 1 × 832, 2 × 416, 4 × 208, 8 × 104, 13 × 64, 16 × 52, 26 × 32.

What is the sum of the factors of 832?

Adding all the factors of 832 together gives 1778. Excluding 832 itself, the proper factors sum to 946.

Is 832 a perfect square?

No, 832 is not a perfect square. There is no whole number that multiplies by itself to give 832. The nearest perfect squares are 784 and 841.

What is the largest factor of 832 other than itself?

The largest factor of 832 apart from 832 itself is 416, since 832 ÷ 416 = 2.

How many factors does 832 have?

832 has 14 factors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832. You can verify this from the prime factorization 2⁶ × 13: add 1 to each exponent and multiply, giving 7 × 2 = 14.

Explore more

Try another number in the factor calculator, break 832 down further with the prime factorization calculator, or compare 832 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.