Factor Calculator

Factors of 938

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, and 938. In total, 938 has 8 factors. Its prime factorization is 2 × 7 × 67, and the sum of all its factors is 1632.

All factors of 938

Here are all 8 factors of 938, listed from smallest to largest.

1271467134469938

Factor pairs of 938

These 4 pairs of whole numbers each multiply to give 938.

1 × 938 = 938
2 × 469 = 938
7 × 134 = 938
14 × 67 = 938

Prime factorization of 938

Dividing 938 by the smallest prime at each step gives its prime factorization:

938 ÷ 2 = 469
469 ÷ 7 = 67
67 ÷ 67 = 1
Result: 938 = 2 × 7 × 67 = 2 × 7 × 67

The distinct prime factors of 938 are 2, 7, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 938

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

Factor tree of 9389382469767
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 938

Number of factors8
Sum of factors1632
Sum of proper factors694
Prime factorization2 × 7 × 67
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 938 interesting

  • 938 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 938 is a deficient number: its proper factors sum to 694, which is 244 less than 938 itself.
  • 938 has 3 distinct prime factors (2, 7, 67), which is why it has so many divisors.

How to find the factors of 938 yourself

Divide 938 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 √93830.63, because every factor above that pairs with one below it.

938 ÷ 1 = 938
938 ÷ 2 = 469
938 ÷ 7 = 134
938 ÷ 14 = 67

Reading both columns gives every factor: 1, 2, 7, 14, 67, 134, 469, 938. The factor calculator does this automatically for any number.

Frequently asked questions about 938

What are the factors of 938?

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, and 938. That is 8 factors in total, counting both 1 and 938.

Is 938 a prime number?

No, 938 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 938 is also divisible by 2.

What is the prime factorization of 938?

The prime factorization of 938 is 2 × 7 × 67. Written out in full: 2 × 7 × 67 = 938. Its distinct prime factors are 2, 7, 67.

What two numbers multiply to give 938?

There are 4 pairs of whole numbers that multiply to 938: 1 × 938, 2 × 469, 7 × 134, 14 × 67.

What is the sum of the factors of 938?

Adding all the factors of 938 together gives 1632. Excluding 938 itself, the proper factors sum to 694.

Is 938 a perfect square?

No, 938 is not a perfect square. There is no whole number that multiplies by itself to give 938. The nearest perfect squares are 900 and 961.

What is the largest factor of 938 other than itself?

The largest factor of 938 apart from 938 itself is 469, since 938 ÷ 469 = 2.

How many factors does 938 have?

938 has 8 factors: 1, 2, 7, 14, 67, 134, 469, and 938. You can verify this from the prime factorization 2 × 7 × 67: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 938 down further with the prime factorization calculator, or compare 938 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.