Factor Calculator

Factors of 97

The factors of 97 are 1 and 97. Since 97 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 98, and its prime factorization is simply 97 itself.

All factors of 97

Here are all 2 factors of 97, listed from smallest to largest.

197

Factor pairs of 97

There is only one factor pair for 97, because it is prime.

1 × 97 = 97

Prime factorization of 97

97 is a prime number, so it cannot be broken down further. Its prime factorization is simply 97.

Properties of 97

Number of factors2
Sum of factors98
Sum of proper factors1
Prime factorization97
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 97 interesting

  • 97 is a prime number, so its only factors are 1 and 97. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 97 yourself

Divide 97 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 √97 ≈ 9.85, because every factor above that pairs with one below it.

97 ÷ 1 = 97 ✓

Reading both columns gives every factor: 1, 97. The factor calculator does this automatically for any number.

Numbers mathematically connected to 97.

Frequently asked questions about 97

What are the factors of 97?

The factors of 97 are 1 and 97. That is 2 factors in total, counting both 1 and 97.

Is 97 a prime number?

Yes, 97 is a prime number. It has exactly two factors: 1 and 97. No other whole number divides it evenly.

What is the prime factorization of 97?

97 is already prime, so its prime factorization is simply 97. It cannot be broken down any further.

What two numbers multiply to give 97?

There is 1 pair of whole numbers that multiply to 97: 1 × 97.

What is the sum of the factors of 97?

Adding all the factors of 97 together gives 98. Excluding 97 itself, the proper factors sum to 1.

Is 97 a perfect square?

No, 97 is not a perfect square. There is no whole number that multiplies by itself to give 97. The nearest perfect squares are 81 and 100.

What is the largest factor of 97 other than itself?

The largest factor of 97 apart from 97 itself is 1, since 97 ÷ 1 = 97.

How many factors does 97 have?

97 has 2 factors: 1 and 97.

Explore more

Try another number in the factor calculator, break 97 down further with the prime factorization calculator, or compare 97 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.