Factor Calculator

Factors of 732

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732. In total, 732 has 12 factors. Its prime factorization is 2² × 3 × 61, and the sum of all its factors is 1736.

All factors of 732

Here are all 12 factors of 732, listed from smallest to largest.

123461261122183244366732

Factor pairs of 732

These 6 pairs of whole numbers each multiply to give 732.

1 × 732 = 732
2 × 366 = 732
3 × 244 = 732
4 × 183 = 732
6 × 122 = 732
12 × 61 = 732

Prime factorization of 732

Dividing 732 by the smallest prime at each step gives its prime factorization:

732 ÷ 2 = 366
366 ÷ 2 = 183
183 ÷ 3 = 61
61 ÷ 61 = 1
Result: 732 = 2 × 2 × 3 × 61 = 2² × 3 × 61

The distinct prime factors of 732 are 2, 3, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 732

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

Factor tree of 73273223662183361
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 732

Number of factors12
Sum of factors1736
Sum of proper factors1004
Prime factorization2² × 3 × 61
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 732 interesting

  • 732 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 732 is an abundant number: its proper factors sum to 1004, which is 272 more than 732 itself.
  • 732 has 3 distinct prime factors (2, 3, 61), which is why it has so many divisors.

How to find the factors of 732 yourself

Divide 732 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 √73227.06, because every factor above that pairs with one below it.

732 ÷ 1 = 732
732 ÷ 2 = 366
732 ÷ 3 = 244
732 ÷ 4 = 183
732 ÷ 6 = 122
732 ÷ 12 = 61

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. The factor calculator does this automatically for any number.

Frequently asked questions about 732

What are the factors of 732?

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732. That is 12 factors in total, counting both 1 and 732.

Is 732 a prime number?

No, 732 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 732 is also divisible by 2.

What is the prime factorization of 732?

The prime factorization of 732 is 2² × 3 × 61. Written out in full: 2 × 2 × 3 × 61 = 732. Its distinct prime factors are 2, 3, 61.

What two numbers multiply to give 732?

There are 6 pairs of whole numbers that multiply to 732: 1 × 732, 2 × 366, 3 × 244, 4 × 183, 6 × 122, 12 × 61.

What is the sum of the factors of 732?

Adding all the factors of 732 together gives 1736. Excluding 732 itself, the proper factors sum to 1004.

Is 732 a perfect square?

No, 732 is not a perfect square. There is no whole number that multiplies by itself to give 732. The nearest perfect squares are 729 and 784.

What is the largest factor of 732 other than itself?

The largest factor of 732 apart from 732 itself is 366, since 732 ÷ 366 = 2.

How many factors does 732 have?

732 has 12 factors: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732. You can verify this from the prime factorization 2² × 3 × 61: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 732 down further with the prime factorization calculator, or compare 732 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.