Factor Calculator

Factors of 481

The factors of 481 are 1, 13, 37, and 481. In total, 481 has 4 factors. Its prime factorization is 13 × 37, and the sum of all its factors is 532.

All factors of 481

Here are all 4 factors of 481, listed from smallest to largest.

11337481

Factor pairs of 481

These 2 pairs of whole numbers each multiply to give 481.

1 × 481 = 481
13 × 37 = 481

Prime factorization of 481

Dividing 481 by the smallest prime at each step gives its prime factorization:

481 ÷ 13 = 37
37 ÷ 37 = 1
Result: 481 = 13 × 37 = 13 × 37

The distinct prime factors of 481 are 13, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 481

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

Factor tree of 4814811337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 481

Number of factors4
Sum of factors532
Sum of proper factors51
Prime factorization13 × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 481 interesting

  • 481 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.
  • 481 is a deficient number: its proper factors sum to 51, which is 430 less than 481 itself.

How to find the factors of 481 yourself

Divide 481 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 √481 ≈ 21.93, because every factor above that pairs with one below it.

481 ÷ 1 = 481 ✓
481 ÷ 13 = 37 ✓

Reading both columns gives every factor: 1, 13, 37, 481. The factor calculator does this automatically for any number.

Numbers mathematically connected to 481.

Frequently asked questions about 481

What are the factors of 481?

The factors of 481 are 1, 13, 37, and 481. That is 4 factors in total, counting both 1 and 481.

Is 481 a prime number?

No, 481 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 481 is also divisible by 13.

What is the prime factorization of 481?

The prime factorization of 481 is 13 × 37. Written out in full: 13 × 37 = 481. Its distinct prime factors are 13, 37.

What two numbers multiply to give 481?

There are 2 pairs of whole numbers that multiply to 481: 1 × 481, 13 × 37.

What is the sum of the factors of 481?

Adding all the factors of 481 together gives 532. Excluding 481 itself, the proper factors sum to 51.

Is 481 a perfect square?

No, 481 is not a perfect square. There is no whole number that multiplies by itself to give 481. The nearest perfect squares are 441 and 484.

What is the largest factor of 481 other than itself?

The largest factor of 481 apart from 481 itself is 37, since 481 ÷ 37 = 13.

How many factors does 481 have?

481 has 4 factors: 1, 13, 37, and 481. You can verify this from the prime factorization 13 × 37: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 481 down further with the prime factorization calculator, or compare 481 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.