Factor Calculator

Factors of 501

The factors of 501 are 1, 3, 167, and 501. In total, 501 has 4 factors. Its prime factorization is 3 × 167, and the sum of all its factors is 672.

All factors of 501

Here are all 4 factors of 501, listed from smallest to largest.

13167501

Factor pairs of 501

These 2 pairs of whole numbers each multiply to give 501.

1 × 501 = 501
3 × 167 = 501

Prime factorization of 501

Dividing 501 by the smallest prime at each step gives its prime factorization:

501 ÷ 3 = 167
167 ÷ 167 = 1
Result: 501 = 3 × 167 = 3 × 167

The distinct prime factors of 501 are 3, 167. To factorize any other number, use the prime factorization calculator.

Factor tree of 501

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

Factor tree of 5015013167
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 501

Number of factors4
Sum of factors672
Sum of proper factors171
Prime factorization3 × 167
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 501 interesting

  • 501 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 501 is a deficient number: its proper factors sum to 171, which is 330 less than 501 itself.

How to find the factors of 501 yourself

Divide 501 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 √501 ≈ 22.38, because every factor above that pairs with one below it.

501 ÷ 1 = 501 ✓
501 ÷ 3 = 167 ✓

Reading both columns gives every factor: 1, 3, 167, 501. The factor calculator does this automatically for any number.

Numbers mathematically connected to 501.

Frequently asked questions about 501

What are the factors of 501?

The factors of 501 are 1, 3, 167, and 501. That is 4 factors in total, counting both 1 and 501.

Is 501 a prime number?

No, 501 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 501 is also divisible by 3.

What is the prime factorization of 501?

The prime factorization of 501 is 3 × 167. Written out in full: 3 × 167 = 501. Its distinct prime factors are 3, 167.

What two numbers multiply to give 501?

There are 2 pairs of whole numbers that multiply to 501: 1 × 501, 3 × 167.

What is the sum of the factors of 501?

Adding all the factors of 501 together gives 672. Excluding 501 itself, the proper factors sum to 171.

Is 501 a perfect square?

No, 501 is not a perfect square. There is no whole number that multiplies by itself to give 501. The nearest perfect squares are 484 and 529.

What is the largest factor of 501 other than itself?

The largest factor of 501 apart from 501 itself is 167, since 501 ÷ 167 = 3.

How many factors does 501 have?

501 has 4 factors: 1, 3, 167, and 501. You can verify this from the prime factorization 3 × 167: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 501 down further with the prime factorization calculator, or compare 501 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.