Factor Calculator

Factors of 651

The factors of 651 are 1, 3, 7, 21, 31, 93, 217, and 651. In total, 651 has 8 factors. Its prime factorization is 3 × 7 × 31, and the sum of all its factors is 1024.

All factors of 651

Here are all 8 factors of 651, listed from smallest to largest.

137213193217651

Factor pairs of 651

These 4 pairs of whole numbers each multiply to give 651.

1 × 651 = 651
3 × 217 = 651
7 × 93 = 651
21 × 31 = 651

Prime factorization of 651

Dividing 651 by the smallest prime at each step gives its prime factorization:

651 ÷ 3 = 217
217 ÷ 7 = 31
31 ÷ 31 = 1
Result: 651 = 3 × 7 × 31 = 3 × 7 × 31

The distinct prime factors of 651 are 3, 7, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 651

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 6516513217731
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 651

Number of factors8
Sum of factors1024
Sum of proper factors373
Prime factorization3 × 7 × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 651 interesting

  • 651 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 651 is a deficient number: its proper factors sum to 373, which is 278 less than 651 itself.
  • 651 has 3 distinct prime factors (3, 7, 31), which is why it has so many divisors.

How to find the factors of 651 yourself

Divide 651 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 √65125.51, because every factor above that pairs with one below it.

651 ÷ 1 = 651
651 ÷ 3 = 217
651 ÷ 7 = 93
651 ÷ 21 = 31

Reading both columns gives every factor: 1, 3, 7, 21, 31, 93, 217, 651. The factor calculator does this automatically for any number.

Frequently asked questions about 651

What are the factors of 651?

The factors of 651 are 1, 3, 7, 21, 31, 93, 217, and 651. That is 8 factors in total, counting both 1 and 651.

Is 651 a prime number?

No, 651 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 651 is also divisible by 3.

What is the prime factorization of 651?

The prime factorization of 651 is 3 × 7 × 31. Written out in full: 3 × 7 × 31 = 651. Its distinct prime factors are 3, 7, 31.

What two numbers multiply to give 651?

There are 4 pairs of whole numbers that multiply to 651: 1 × 651, 3 × 217, 7 × 93, 21 × 31.

What is the sum of the factors of 651?

Adding all the factors of 651 together gives 1024. Excluding 651 itself, the proper factors sum to 373.

Is 651 a perfect square?

No, 651 is not a perfect square. There is no whole number that multiplies by itself to give 651. The nearest perfect squares are 625 and 676.

What is the largest factor of 651 other than itself?

The largest factor of 651 apart from 651 itself is 217, since 651 ÷ 217 = 3.

How many factors does 651 have?

651 has 8 factors: 1, 3, 7, 21, 31, 93, 217, and 651. You can verify this from the prime factorization 3 × 7 × 31: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 651 down further with the prime factorization calculator, or compare 651 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.