Factor Calculator

Factors of 235

The factors of 235 are 1, 5, 47, and 235. In total, 235 has 4 factors. Its prime factorization is 5 × 47, and the sum of all its factors is 288.

All factors of 235

Here are all 4 factors of 235, listed from smallest to largest.

1547235

Factor pairs of 235

These 2 pairs of whole numbers each multiply to give 235.

1 × 235 = 235
5 × 47 = 235

Prime factorization of 235

Dividing 235 by the smallest prime at each step gives its prime factorization:

235 ÷ 5 = 47
47 ÷ 47 = 1
Result: 235 = 5 × 47 = 5 × 47

The distinct prime factors of 235 are 5, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 235

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

Factor tree of 235235547
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 235

Number of factors4
Sum of factors288
Sum of proper factors53
Prime factorization5 × 47
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 235 interesting

  • 235 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.
  • 235 is a deficient number: its proper factors sum to 53, which is 182 less than 235 itself.

How to find the factors of 235 yourself

Divide 235 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 √23515.33, because every factor above that pairs with one below it.

235 ÷ 1 = 235
235 ÷ 5 = 47

Reading both columns gives every factor: 1, 5, 47, 235. The factor calculator does this automatically for any number.

Frequently asked questions about 235

What are the factors of 235?

The factors of 235 are 1, 5, 47, and 235. That is 4 factors in total, counting both 1 and 235.

Is 235 a prime number?

No, 235 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 235 is also divisible by 5.

What is the prime factorization of 235?

The prime factorization of 235 is 5 × 47. Written out in full: 5 × 47 = 235. Its distinct prime factors are 5, 47.

What two numbers multiply to give 235?

There are 2 pairs of whole numbers that multiply to 235: 1 × 235, 5 × 47.

What is the sum of the factors of 235?

Adding all the factors of 235 together gives 288. Excluding 235 itself, the proper factors sum to 53.

Is 235 a perfect square?

No, 235 is not a perfect square. There is no whole number that multiplies by itself to give 235. The nearest perfect squares are 225 and 256.

What is the largest factor of 235 other than itself?

The largest factor of 235 apart from 235 itself is 47, since 235 ÷ 47 = 5.

How many factors does 235 have?

235 has 4 factors: 1, 5, 47, and 235. You can verify this from the prime factorization 5 × 47: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 235 down further with the prime factorization calculator, or compare 235 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.