Factor Calculator

Factors of 997

The factors of 997 are 1 and 997. Since 997 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 998, and its prime factorization is simply 997 itself.

All factors of 997

Here are all 2 factors of 997, listed from smallest to largest.

1997

Factor pairs of 997

There is only one factor pair for 997, because it is prime.

1 × 997 = 997

Prime factorization of 997

997 is a prime number, so it cannot be broken down further. Its prime factorization is simply 997.

Properties of 997

Number of factors2
Sum of factors998
Sum of proper factors1
Prime factorization997
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 997 interesting

  • 997 is a prime number, so its only factors are 1 and 997. 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 997 yourself

Divide 997 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 √997 ≈ 31.58, because every factor above that pairs with one below it.

997 ÷ 1 = 997 ✓

Reading both columns gives every factor: 1, 997. The factor calculator does this automatically for any number.

Numbers mathematically connected to 997.

Frequently asked questions about 997

What are the factors of 997?

The factors of 997 are 1 and 997. That is 2 factors in total, counting both 1 and 997.

Is 997 a prime number?

Yes, 997 is a prime number. It has exactly two factors: 1 and 997. No other whole number divides it evenly.

What is the prime factorization of 997?

997 is already prime, so its prime factorization is simply 997. It cannot be broken down any further.

What two numbers multiply to give 997?

There is 1 pair of whole numbers that multiply to 997: 1 × 997.

What is the sum of the factors of 997?

Adding all the factors of 997 together gives 998. Excluding 997 itself, the proper factors sum to 1.

Is 997 a perfect square?

No, 997 is not a perfect square. There is no whole number that multiplies by itself to give 997. The nearest perfect squares are 961 and 1024.

What is the largest factor of 997 other than itself?

The largest factor of 997 apart from 997 itself is 1, since 997 ÷ 1 = 997.

How many factors does 997 have?

997 has 2 factors: 1 and 997.

Explore more

Try another number in the factor calculator, break 997 down further with the prime factorization calculator, or compare 997 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.