Factor Calculator

Factors of 477

The factors of 477 are 1, 3, 9, 53, 159, and 477. In total, 477 has 6 factors. Its prime factorization is 3² × 53, and the sum of all its factors is 702.

All factors of 477

Here are all 6 factors of 477, listed from smallest to largest.

13953159477

Factor pairs of 477

These 3 pairs of whole numbers each multiply to give 477.

1 × 477 = 477
3 × 159 = 477
9 × 53 = 477

Prime factorization of 477

Dividing 477 by the smallest prime at each step gives its prime factorization:

477 ÷ 3 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1
Result: 477 = 3 × 3 × 53 = 3² × 53

The distinct prime factors of 477 are 3, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 477

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

Factor tree of 4774773159353
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 477

Number of factors6
Sum of factors702
Sum of proper factors225
Prime factorization3² × 53
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 477 interesting

  • 477 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 477 is a deficient number: its proper factors sum to 225, which is 252 less than 477 itself.

How to find the factors of 477 yourself

Divide 477 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 √477 ≈ 21.84, because every factor above that pairs with one below it.

477 ÷ 1 = 477 ✓
477 ÷ 3 = 159 ✓
477 ÷ 9 = 53 ✓

Reading both columns gives every factor: 1, 3, 9, 53, 159, 477. The factor calculator does this automatically for any number.

Numbers mathematically connected to 477.

Frequently asked questions about 477

What are the factors of 477?

The factors of 477 are 1, 3, 9, 53, 159, and 477. That is 6 factors in total, counting both 1 and 477.

Is 477 a prime number?

No, 477 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 477 is also divisible by 3.

What is the prime factorization of 477?

The prime factorization of 477 is 3² × 53. Written out in full: 3 × 3 × 53 = 477. Its distinct prime factors are 3, 53.

What two numbers multiply to give 477?

There are 3 pairs of whole numbers that multiply to 477: 1 × 477, 3 × 159, 9 × 53.

What is the sum of the factors of 477?

Adding all the factors of 477 together gives 702. Excluding 477 itself, the proper factors sum to 225.

Is 477 a perfect square?

No, 477 is not a perfect square. There is no whole number that multiplies by itself to give 477. The nearest perfect squares are 441 and 484.

What is the largest factor of 477 other than itself?

The largest factor of 477 apart from 477 itself is 159, since 477 ÷ 159 = 3.

How many factors does 477 have?

477 has 6 factors: 1, 3, 9, 53, 159, and 477. You can verify this from the prime factorization 3² × 53: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 477 down further with the prime factorization calculator, or compare 477 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.