Factor Calculator

Factors of 122

The factors of 122 are 1, 2, 61, and 122. In total, 122 has 4 factors. Its prime factorization is 2 × 61, and the sum of all its factors is 186.

All factors of 122

Here are all 4 factors of 122, listed from smallest to largest.

1261122

Factor pairs of 122

These 2 pairs of whole numbers each multiply to give 122.

1 × 122 = 122
2 × 61 = 122

Prime factorization of 122

Dividing 122 by the smallest prime at each step gives its prime factorization:

122 ÷ 2 = 61
61 ÷ 61 = 1
Result: 122 = 2 × 61 = 2 × 61

The distinct prime factors of 122 are 2, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 122

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

Factor tree of 122122261
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 122

Number of factors4
Sum of factors186
Sum of proper factors64
Prime factorization2 × 61
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 122 interesting

  • 122 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 122 is a deficient number: its proper factors sum to 64, which is 58 less than 122 itself.

How to find the factors of 122 yourself

Divide 122 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 √12211.05, because every factor above that pairs with one below it.

122 ÷ 1 = 122
122 ÷ 2 = 61

Reading both columns gives every factor: 1, 2, 61, 122. The factor calculator does this automatically for any number.

Frequently asked questions about 122

What are the factors of 122?

The factors of 122 are 1, 2, 61, and 122. That is 4 factors in total, counting both 1 and 122.

Is 122 a prime number?

No, 122 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 122 is also divisible by 2.

What is the prime factorization of 122?

The prime factorization of 122 is 2 × 61. Written out in full: 2 × 61 = 122. Its distinct prime factors are 2, 61.

What two numbers multiply to give 122?

There are 2 pairs of whole numbers that multiply to 122: 1 × 122, 2 × 61.

What is the sum of the factors of 122?

Adding all the factors of 122 together gives 186. Excluding 122 itself, the proper factors sum to 64.

Is 122 a perfect square?

No, 122 is not a perfect square. There is no whole number that multiplies by itself to give 122. The nearest perfect squares are 121 and 144.

What is the largest factor of 122 other than itself?

The largest factor of 122 apart from 122 itself is 61, since 122 ÷ 61 = 2.

How many factors does 122 have?

122 has 4 factors: 1, 2, 61, and 122. You can verify this from the prime factorization 2 × 61: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 122 down further with the prime factorization calculator, or compare 122 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.