Factor Calculator

Factors of 977

The factors of 977 are 1 and 977. Since 977 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 978, and its prime factorization is simply 977 itself.

All factors of 977

Here are all 2 factors of 977, listed from smallest to largest.

1977

Factor pairs of 977

There is only one factor pair for 977, because it is prime.

1 × 977 = 977

Prime factorization of 977

977 is a prime number, so it cannot be broken down further. Its prime factorization is simply 977.

Properties of 977

Number of factors2
Sum of factors978
Sum of proper factors1
Prime factorization977
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 977 interesting

  • 977 is a prime number, so its only factors are 1 and 977. 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 977 yourself

Divide 977 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 √977 ≈ 31.26, because every factor above that pairs with one below it.

977 ÷ 1 = 977 ✓

Reading both columns gives every factor: 1, 977. The factor calculator does this automatically for any number.

Numbers mathematically connected to 977.

Frequently asked questions about 977

What are the factors of 977?

The factors of 977 are 1 and 977. That is 2 factors in total, counting both 1 and 977.

Is 977 a prime number?

Yes, 977 is a prime number. It has exactly two factors: 1 and 977. No other whole number divides it evenly.

What is the prime factorization of 977?

977 is already prime, so its prime factorization is simply 977. It cannot be broken down any further.

What two numbers multiply to give 977?

There is 1 pair of whole numbers that multiply to 977: 1 × 977.

What is the sum of the factors of 977?

Adding all the factors of 977 together gives 978. Excluding 977 itself, the proper factors sum to 1.

Is 977 a perfect square?

No, 977 is not a perfect square. There is no whole number that multiplies by itself to give 977. The nearest perfect squares are 961 and 1024.

What is the largest factor of 977 other than itself?

The largest factor of 977 apart from 977 itself is 1, since 977 ÷ 1 = 977.

How many factors does 977 have?

977 has 2 factors: 1 and 977.

Explore more

Try another number in the factor calculator, break 977 down further with the prime factorization calculator, or compare 977 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.