Factor Calculator

Factors of 275

The factors of 275 are 1, 5, 11, 25, 55, and 275. In total, 275 has 6 factors. Its prime factorization is 5² × 11, and the sum of all its factors is 372.

All factors of 275

Here are all 6 factors of 275, listed from smallest to largest.

15112555275

Factor pairs of 275

These 3 pairs of whole numbers each multiply to give 275.

1 × 275 = 275
5 × 55 = 275
11 × 25 = 275

Prime factorization of 275

Dividing 275 by the smallest prime at each step gives its prime factorization:

275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 275 = 5 × 5 × 11 = 5² × 11

The distinct prime factors of 275 are 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 275

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

Factor tree of 275275555511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 275

Number of factors6
Sum of factors372
Sum of proper factors97
Prime factorization5² × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 275 interesting

  • 275 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.
  • 275 is a deficient number: its proper factors sum to 97, which is 178 less than 275 itself.

How to find the factors of 275 yourself

Divide 275 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 √275 ≈ 16.58, because every factor above that pairs with one below it.

275 ÷ 1 = 275 ✓
275 ÷ 5 = 55 ✓
275 ÷ 11 = 25 ✓

Reading both columns gives every factor: 1, 5, 11, 25, 55, 275. The factor calculator does this automatically for any number.

Numbers mathematically connected to 275.

Frequently asked questions about 275

What are the factors of 275?

The factors of 275 are 1, 5, 11, 25, 55, and 275. That is 6 factors in total, counting both 1 and 275.

Is 275 a prime number?

No, 275 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 275 is also divisible by 5.

What is the prime factorization of 275?

The prime factorization of 275 is 5² × 11. Written out in full: 5 × 5 × 11 = 275. Its distinct prime factors are 5, 11.

What two numbers multiply to give 275?

There are 3 pairs of whole numbers that multiply to 275: 1 × 275, 5 × 55, 11 × 25.

What is the sum of the factors of 275?

Adding all the factors of 275 together gives 372. Excluding 275 itself, the proper factors sum to 97.

Is 275 a perfect square?

No, 275 is not a perfect square. There is no whole number that multiplies by itself to give 275. The nearest perfect squares are 256 and 289.

What is the largest factor of 275 other than itself?

The largest factor of 275 apart from 275 itself is 55, since 275 ÷ 55 = 5.

How many factors does 275 have?

275 has 6 factors: 1, 5, 11, 25, 55, and 275. You can verify this from the prime factorization 5² × 11: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 275 down further with the prime factorization calculator, or compare 275 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.