Factor Calculator

Factors of 491

The factors of 491 are 1 and 491. Since 491 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 492, and its prime factorization is simply 491 itself.

All factors of 491

Here are all 2 factors of 491, listed from smallest to largest.

1491

Factor pairs of 491

There is only one factor pair for 491, because it is prime.

1 × 491 = 491

Prime factorization of 491

491 is a prime number, so it cannot be broken down further. Its prime factorization is simply 491.

Properties of 491

Number of factors2
Sum of factors492
Sum of proper factors1
Prime factorization491
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 491 interesting

  • 491 is a prime number, so its only factors are 1 and 491. 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 491 yourself

Divide 491 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 √49122.16, because every factor above that pairs with one below it.

491 ÷ 1 = 491

Reading both columns gives every factor: 1, 491. The factor calculator does this automatically for any number.

Frequently asked questions about 491

What are the factors of 491?

The factors of 491 are 1 and 491. That is 2 factors in total, counting both 1 and 491.

Is 491 a prime number?

Yes, 491 is a prime number. It has exactly two factors: 1 and 491. No other whole number divides it evenly.

What is the prime factorization of 491?

491 is already prime, so its prime factorization is simply 491. It cannot be broken down any further.

What two numbers multiply to give 491?

There is 1 pair of whole numbers that multiply to 491: 1 × 491.

What is the sum of the factors of 491?

Adding all the factors of 491 together gives 492. Excluding 491 itself, the proper factors sum to 1.

Is 491 a perfect square?

No, 491 is not a perfect square. There is no whole number that multiplies by itself to give 491. The nearest perfect squares are 484 and 529.

What is the largest factor of 491 other than itself?

The largest factor of 491 apart from 491 itself is 1, since 491 ÷ 1 = 491.

How many factors does 491 have?

491 has 2 factors: 1 and 491.

Explore more

Try another number in the factor calculator, break 491 down further with the prime factorization calculator, or compare 491 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.