Factor Calculator

Factors of 93

The factors of 93 are 1, 3, 31, and 93. In total, 93 has 4 factors. Its prime factorization is 3 × 31, and the sum of all its factors is 128.

All factors of 93

Here are all 4 factors of 93, listed from smallest to largest.

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Factor pairs of 93

These 2 pairs of whole numbers each multiply to give 93.

1 × 93 = 93
3 × 31 = 93

Prime factorization of 93

Dividing 93 by the smallest prime at each step gives its prime factorization:

93 ÷ 3 = 31
31 ÷ 31 = 1
Result: 93 = 3 × 31 = 3 × 31

The distinct prime factors of 93 are 3, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 93

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

Factor tree of 9393331
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 93

Number of factors4
Sum of factors128
Sum of proper factors35
Prime factorization3 × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 93 interesting

  • 93 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.
  • 93 is a deficient number: its proper factors sum to 35, which is 58 less than 93 itself.

How to find the factors of 93 yourself

Divide 93 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 √939.64, because every factor above that pairs with one below it.

93 ÷ 1 = 93
93 ÷ 3 = 31

Reading both columns gives every factor: 1, 3, 31, 93. The factor calculator does this automatically for any number.

Frequently asked questions about 93

What are the factors of 93?

The factors of 93 are 1, 3, 31, and 93. That is 4 factors in total, counting both 1 and 93.

Is 93 a prime number?

No, 93 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 93 is also divisible by 3.

What is the prime factorization of 93?

The prime factorization of 93 is 3 × 31. Written out in full: 3 × 31 = 93. Its distinct prime factors are 3, 31.

What two numbers multiply to give 93?

There are 2 pairs of whole numbers that multiply to 93: 1 × 93, 3 × 31.

What is the sum of the factors of 93?

Adding all the factors of 93 together gives 128. Excluding 93 itself, the proper factors sum to 35.

Is 93 a perfect square?

No, 93 is not a perfect square. There is no whole number that multiplies by itself to give 93. The nearest perfect squares are 81 and 100.

What is the largest factor of 93 other than itself?

The largest factor of 93 apart from 93 itself is 31, since 93 ÷ 31 = 3.

How many factors does 93 have?

93 has 4 factors: 1, 3, 31, and 93. You can verify this from the prime factorization 3 × 31: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 93 down further with the prime factorization calculator, or compare 93 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.