Factor Calculator

Factors of 738

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, and 738. In total, 738 has 12 factors. Its prime factorization is 2 × 3² × 41, and the sum of all its factors is 1638.

All factors of 738

Here are all 12 factors of 738, listed from smallest to largest.

12369184182123246369738

Factor pairs of 738

These 6 pairs of whole numbers each multiply to give 738.

1 × 738 = 738
2 × 369 = 738
3 × 246 = 738
6 × 123 = 738
9 × 82 = 738
18 × 41 = 738

Prime factorization of 738

Dividing 738 by the smallest prime at each step gives its prime factorization:

738 ÷ 2 = 369
369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
Result: 738 = 2 × 3 × 3 × 41 = 2 × 3² × 41

The distinct prime factors of 738 are 2, 3, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 738

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

Factor tree of 73873823693123341
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 738

Number of factors12
Sum of factors1638
Sum of proper factors900
Prime factorization2 × 3² × 41
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 738 interesting

  • 738 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.
  • 738 is an abundant number: its proper factors sum to 900, which is 162 more than 738 itself.
  • 738 has 3 distinct prime factors (2, 3, 41), which is why it has so many divisors.

How to find the factors of 738 yourself

Divide 738 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 √738 ≈ 27.17, because every factor above that pairs with one below it.

738 ÷ 1 = 738 ✓
738 ÷ 2 = 369 ✓
738 ÷ 3 = 246 ✓
738 ÷ 6 = 123 ✓
738 ÷ 9 = 82 ✓
738 ÷ 18 = 41 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. The factor calculator does this automatically for any number.

Numbers mathematically connected to 738.

Frequently asked questions about 738

What are the factors of 738?

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, and 738. That is 12 factors in total, counting both 1 and 738.

Is 738 a prime number?

No, 738 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 738 is also divisible by 2.

What is the prime factorization of 738?

The prime factorization of 738 is 2 × 3² × 41. Written out in full: 2 × 3 × 3 × 41 = 738. Its distinct prime factors are 2, 3, 41.

What two numbers multiply to give 738?

There are 6 pairs of whole numbers that multiply to 738: 1 × 738, 2 × 369, 3 × 246, 6 × 123, 9 × 82, 18 × 41.

What is the sum of the factors of 738?

Adding all the factors of 738 together gives 1638. Excluding 738 itself, the proper factors sum to 900.

Is 738 a perfect square?

No, 738 is not a perfect square. There is no whole number that multiplies by itself to give 738. The nearest perfect squares are 729 and 784.

What is the largest factor of 738 other than itself?

The largest factor of 738 apart from 738 itself is 369, since 738 ÷ 369 = 2.

How many factors does 738 have?

738 has 12 factors: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, and 738. You can verify this from the prime factorization 2 × 3² × 41: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 738 down further with the prime factorization calculator, or compare 738 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.