Factor Calculator

Factors of 124

The factors of 124 are 1, 2, 4, 31, 62, and 124. In total, 124 has 6 factors. Its prime factorization is 2² × 31, and the sum of all its factors is 224.

All factors of 124

Here are all 6 factors of 124, listed from smallest to largest.

1243162124

Factor pairs of 124

These 3 pairs of whole numbers each multiply to give 124.

1 × 124 = 124
2 × 62 = 124
4 × 31 = 124

Prime factorization of 124

Dividing 124 by the smallest prime at each step gives its prime factorization:

124 ÷ 2 = 62
62 ÷ 2 = 31
31 ÷ 31 = 1
Result: 124 = 2 × 2 × 31 = 2² × 31

The distinct prime factors of 124 are 2, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 124

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

Factor tree of 124124262231
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 124

Number of factors6
Sum of factors224
Sum of proper factors100
Prime factorization2² × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 124 interesting

  • 124 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 124 is a deficient number: its proper factors sum to 100, which is 24 less than 124 itself.

How to find the factors of 124 yourself

Divide 124 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 √12411.14, because every factor above that pairs with one below it.

124 ÷ 1 = 124
124 ÷ 2 = 62
124 ÷ 4 = 31

Reading both columns gives every factor: 1, 2, 4, 31, 62, 124. The factor calculator does this automatically for any number.

Frequently asked questions about 124

What are the factors of 124?

The factors of 124 are 1, 2, 4, 31, 62, and 124. That is 6 factors in total, counting both 1 and 124.

Is 124 a prime number?

No, 124 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 124 is also divisible by 2.

What is the prime factorization of 124?

The prime factorization of 124 is 2² × 31. Written out in full: 2 × 2 × 31 = 124. Its distinct prime factors are 2, 31.

What two numbers multiply to give 124?

There are 3 pairs of whole numbers that multiply to 124: 1 × 124, 2 × 62, 4 × 31.

What is the sum of the factors of 124?

Adding all the factors of 124 together gives 224. Excluding 124 itself, the proper factors sum to 100.

Is 124 a perfect square?

No, 124 is not a perfect square. There is no whole number that multiplies by itself to give 124. The nearest perfect squares are 121 and 144.

What is the largest factor of 124 other than itself?

The largest factor of 124 apart from 124 itself is 62, since 124 ÷ 62 = 2.

How many factors does 124 have?

124 has 6 factors: 1, 2, 4, 31, 62, and 124. You can verify this from the prime factorization 2² × 31: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 124 down further with the prime factorization calculator, or compare 124 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.