Factor Calculator

Factors of 432

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432. In total, 432 has 20 factors. Its prime factorization is 2⁴ × 3³, and the sum of all its factors is 1240.

All factors of 432

Here are all 20 factors of 432, listed from smallest to largest.

1234689121618242736485472108144216432

Factor pairs of 432

These 10 pairs of whole numbers each multiply to give 432.

1 × 432 = 432
2 × 216 = 432
3 × 144 = 432
4 × 108 = 432
6 × 72 = 432
8 × 54 = 432
9 × 48 = 432
12 × 36 = 432
16 × 27 = 432
18 × 24 = 432

Prime factorization of 432

Dividing 432 by the smallest prime at each step gives its prime factorization:

432 ÷ 2 = 216
216 ÷ 2 = 108
108 ÷ 2 = 54
54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁴ × 3³

The distinct prime factors of 432 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 432

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

Factor tree of 432432221621082542273933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 432

Number of factors20
Sum of factors1240
Sum of proper factors808
Prime factorization2⁴ × 3³
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 432 interesting

  • 432 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 432 is an abundant number: its proper factors sum to 808, which is 376 more than 432 itself.

How to find the factors of 432 yourself

Divide 432 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 √432 ≈ 20.78, because every factor above that pairs with one below it.

432 ÷ 1 = 432 ✓
432 ÷ 2 = 216 ✓
432 ÷ 3 = 144 ✓
432 ÷ 4 = 108 ✓
432 ÷ 6 = 72 ✓
432 ÷ 8 = 54 ✓
432 ÷ 9 = 48 ✓
432 ÷ 12 = 36 ✓
432 ÷ 16 = 27 ✓
432 ÷ 18 = 24 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. The factor calculator does this automatically for any number.

Numbers mathematically connected to 432.

Frequently asked questions about 432

What are the factors of 432?

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432. That is 20 factors in total, counting both 1 and 432.

Is 432 a prime number?

No, 432 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 432 is also divisible by 2.

What is the prime factorization of 432?

The prime factorization of 432 is 2⁴ × 3³. Written out in full: 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432. Its distinct prime factors are 2, 3.

What two numbers multiply to give 432?

There are 10 pairs of whole numbers that multiply to 432: 1 × 432, 2 × 216, 3 × 144, 4 × 108, 6 × 72, 8 × 54, 9 × 48, 12 × 36, 16 × 27, 18 × 24.

What is the sum of the factors of 432?

Adding all the factors of 432 together gives 1240. Excluding 432 itself, the proper factors sum to 808.

Is 432 a perfect square?

No, 432 is not a perfect square. There is no whole number that multiplies by itself to give 432. The nearest perfect squares are 400 and 441.

What is the largest factor of 432 other than itself?

The largest factor of 432 apart from 432 itself is 216, since 432 ÷ 216 = 2.

How many factors does 432 have?

432 has 20 factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432. You can verify this from the prime factorization 2⁴ × 3³: add 1 to each exponent and multiply, giving 5 × 4 = 20.

Explore more

Try another number in the factor calculator, break 432 down further with the prime factorization calculator, or compare 432 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.