Factor Calculator

Factors of 691

The factors of 691 are 1 and 691. Since 691 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 692, and its prime factorization is simply 691 itself.

All factors of 691

Here are all 2 factors of 691, listed from smallest to largest.

1691

Factor pairs of 691

There is only one factor pair for 691, because it is prime.

1 × 691 = 691

Prime factorization of 691

691 is a prime number, so it cannot be broken down further. Its prime factorization is simply 691.

Properties of 691

Number of factors2
Sum of factors692
Sum of proper factors1
Prime factorization691
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 691 interesting

  • 691 is a prime number, so its only factors are 1 and 691. 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 691 yourself

Divide 691 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 √69126.29, because every factor above that pairs with one below it.

691 ÷ 1 = 691

Reading both columns gives every factor: 1, 691. The factor calculator does this automatically for any number.

Frequently asked questions about 691

What are the factors of 691?

The factors of 691 are 1 and 691. That is 2 factors in total, counting both 1 and 691.

Is 691 a prime number?

Yes, 691 is a prime number. It has exactly two factors: 1 and 691. No other whole number divides it evenly.

What is the prime factorization of 691?

691 is already prime, so its prime factorization is simply 691. It cannot be broken down any further.

What two numbers multiply to give 691?

There is 1 pair of whole numbers that multiply to 691: 1 × 691.

What is the sum of the factors of 691?

Adding all the factors of 691 together gives 692. Excluding 691 itself, the proper factors sum to 1.

Is 691 a perfect square?

No, 691 is not a perfect square. There is no whole number that multiplies by itself to give 691. The nearest perfect squares are 676 and 729.

What is the largest factor of 691 other than itself?

The largest factor of 691 apart from 691 itself is 1, since 691 ÷ 1 = 691.

How many factors does 691 have?

691 has 2 factors: 1 and 691.

Explore more

Try another number in the factor calculator, break 691 down further with the prime factorization calculator, or compare 691 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.