Factor Calculator

Factors of 265

The factors of 265 are 1, 5, 53, and 265. In total, 265 has 4 factors. Its prime factorization is 5 × 53, and the sum of all its factors is 324.

All factors of 265

Here are all 4 factors of 265, listed from smallest to largest.

1553265

Factor pairs of 265

These 2 pairs of whole numbers each multiply to give 265.

1 × 265 = 265
5 × 53 = 265

Prime factorization of 265

Dividing 265 by the smallest prime at each step gives its prime factorization:

265 ÷ 5 = 53
53 ÷ 53 = 1
Result: 265 = 5 × 53 = 5 × 53

The distinct prime factors of 265 are 5, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 265

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

Factor tree of 265265553
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 265

Number of factors4
Sum of factors324
Sum of proper factors59
Prime factorization5 × 53
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 265 interesting

  • 265 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.
  • 265 is a deficient number: its proper factors sum to 59, which is 206 less than 265 itself.

How to find the factors of 265 yourself

Divide 265 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 √265 ≈ 16.28, because every factor above that pairs with one below it.

265 ÷ 1 = 265 ✓
265 ÷ 5 = 53 ✓

Reading both columns gives every factor: 1, 5, 53, 265. The factor calculator does this automatically for any number.

Numbers mathematically connected to 265.

Frequently asked questions about 265

What are the factors of 265?

The factors of 265 are 1, 5, 53, and 265. That is 4 factors in total, counting both 1 and 265.

Is 265 a prime number?

No, 265 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 265 is also divisible by 5.

What is the prime factorization of 265?

The prime factorization of 265 is 5 × 53. Written out in full: 5 × 53 = 265. Its distinct prime factors are 5, 53.

What two numbers multiply to give 265?

There are 2 pairs of whole numbers that multiply to 265: 1 × 265, 5 × 53.

What is the sum of the factors of 265?

Adding all the factors of 265 together gives 324. Excluding 265 itself, the proper factors sum to 59.

Is 265 a perfect square?

No, 265 is not a perfect square. There is no whole number that multiplies by itself to give 265. The nearest perfect squares are 256 and 289.

What is the largest factor of 265 other than itself?

The largest factor of 265 apart from 265 itself is 53, since 265 ÷ 53 = 5.

How many factors does 265 have?

265 has 4 factors: 1, 5, 53, and 265. You can verify this from the prime factorization 5 × 53: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 265 down further with the prime factorization calculator, or compare 265 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.