Factor Calculator

Factors of 948

The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, and 948. In total, 948 has 12 factors. Its prime factorization is 2² × 3 × 79, and the sum of all its factors is 2240.

All factors of 948

Here are all 12 factors of 948, listed from smallest to largest.

123461279158237316474948

Factor pairs of 948

These 6 pairs of whole numbers each multiply to give 948.

1 × 948 = 948
2 × 474 = 948
3 × 316 = 948
4 × 237 = 948
6 × 158 = 948
12 × 79 = 948

Prime factorization of 948

Dividing 948 by the smallest prime at each step gives its prime factorization:

948 ÷ 2 = 474
474 ÷ 2 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
Result: 948 = 2 × 2 × 3 × 79 = 2² × 3 × 79

The distinct prime factors of 948 are 2, 3, 79. To factorize any other number, use the prime factorization calculator.

Factor tree of 948

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

Factor tree of 94894824742237379
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 948

Number of factors12
Sum of factors2240
Sum of proper factors1292
Prime factorization2² × 3 × 79
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 948 interesting

  • 948 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.
  • 948 is an abundant number: its proper factors sum to 1292, which is 344 more than 948 itself.
  • 948 has 3 distinct prime factors (2, 3, 79), which is why it has so many divisors.

How to find the factors of 948 yourself

Divide 948 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 √948 ≈ 30.79, because every factor above that pairs with one below it.

948 ÷ 1 = 948 ✓
948 ÷ 2 = 474 ✓
948 ÷ 3 = 316 ✓
948 ÷ 4 = 237 ✓
948 ÷ 6 = 158 ✓
948 ÷ 12 = 79 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. The factor calculator does this automatically for any number.

Numbers mathematically connected to 948.

Frequently asked questions about 948

What are the factors of 948?

The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, and 948. That is 12 factors in total, counting both 1 and 948.

Is 948 a prime number?

No, 948 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 948 is also divisible by 2.

What is the prime factorization of 948?

The prime factorization of 948 is 2² × 3 × 79. Written out in full: 2 × 2 × 3 × 79 = 948. Its distinct prime factors are 2, 3, 79.

What two numbers multiply to give 948?

There are 6 pairs of whole numbers that multiply to 948: 1 × 948, 2 × 474, 3 × 316, 4 × 237, 6 × 158, 12 × 79.

What is the sum of the factors of 948?

Adding all the factors of 948 together gives 2240. Excluding 948 itself, the proper factors sum to 1292.

Is 948 a perfect square?

No, 948 is not a perfect square. There is no whole number that multiplies by itself to give 948. The nearest perfect squares are 900 and 961.

What is the largest factor of 948 other than itself?

The largest factor of 948 apart from 948 itself is 474, since 948 ÷ 474 = 2.

How many factors does 948 have?

948 has 12 factors: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, and 948. You can verify this from the prime factorization 2² × 3 × 79: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 948 down further with the prime factorization calculator, or compare 948 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.