Factor Calculator

Factors of 505

The factors of 505 are 1, 5, 101, and 505. In total, 505 has 4 factors. Its prime factorization is 5 × 101, and the sum of all its factors is 612.

All factors of 505

Here are all 4 factors of 505, listed from smallest to largest.

15101505

Factor pairs of 505

These 2 pairs of whole numbers each multiply to give 505.

1 × 505 = 505
5 × 101 = 505

Prime factorization of 505

Dividing 505 by the smallest prime at each step gives its prime factorization:

505 ÷ 5 = 101
101 ÷ 101 = 1
Result: 505 = 5 × 101 = 5 × 101

The distinct prime factors of 505 are 5, 101. To factorize any other number, use the prime factorization calculator.

Factor tree of 505

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

Factor tree of 5055055101
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 505

Number of factors4
Sum of factors612
Sum of proper factors107
Prime factorization5 × 101
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 505 interesting

  • 505 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.
  • 505 is a deficient number: its proper factors sum to 107, which is 398 less than 505 itself.

How to find the factors of 505 yourself

Divide 505 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 √505 ≈ 22.47, because every factor above that pairs with one below it.

505 ÷ 1 = 505 ✓
505 ÷ 5 = 101 ✓

Reading both columns gives every factor: 1, 5, 101, 505. The factor calculator does this automatically for any number.

Numbers mathematically connected to 505.

Frequently asked questions about 505

What are the factors of 505?

The factors of 505 are 1, 5, 101, and 505. That is 4 factors in total, counting both 1 and 505.

Is 505 a prime number?

No, 505 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 505 is also divisible by 5.

What is the prime factorization of 505?

The prime factorization of 505 is 5 × 101. Written out in full: 5 × 101 = 505. Its distinct prime factors are 5, 101.

What two numbers multiply to give 505?

There are 2 pairs of whole numbers that multiply to 505: 1 × 505, 5 × 101.

What is the sum of the factors of 505?

Adding all the factors of 505 together gives 612. Excluding 505 itself, the proper factors sum to 107.

Is 505 a perfect square?

No, 505 is not a perfect square. There is no whole number that multiplies by itself to give 505. The nearest perfect squares are 484 and 529.

What is the largest factor of 505 other than itself?

The largest factor of 505 apart from 505 itself is 101, since 505 ÷ 101 = 5.

How many factors does 505 have?

505 has 4 factors: 1, 5, 101, and 505. You can verify this from the prime factorization 5 × 101: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 505 down further with the prime factorization calculator, or compare 505 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.