Factor Calculator

Factors of 295

The factors of 295 are 1, 5, 59, and 295. In total, 295 has 4 factors. Its prime factorization is 5 × 59, and the sum of all its factors is 360.

All factors of 295

Here are all 4 factors of 295, listed from smallest to largest.

1559295

Factor pairs of 295

These 2 pairs of whole numbers each multiply to give 295.

1 × 295 = 295
5 × 59 = 295

Prime factorization of 295

Dividing 295 by the smallest prime at each step gives its prime factorization:

295 ÷ 5 = 59
59 ÷ 59 = 1
Result: 295 = 5 × 59 = 5 × 59

The distinct prime factors of 295 are 5, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 295

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

Factor tree of 295295559
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 295

Number of factors4
Sum of factors360
Sum of proper factors65
Prime factorization5 × 59
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 295 interesting

  • 295 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.
  • 295 is a deficient number: its proper factors sum to 65, which is 230 less than 295 itself.

How to find the factors of 295 yourself

Divide 295 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 √295 ≈ 17.18, because every factor above that pairs with one below it.

295 ÷ 1 = 295 ✓
295 ÷ 5 = 59 ✓

Reading both columns gives every factor: 1, 5, 59, 295. The factor calculator does this automatically for any number.

Numbers mathematically connected to 295.

Frequently asked questions about 295

What are the factors of 295?

The factors of 295 are 1, 5, 59, and 295. That is 4 factors in total, counting both 1 and 295.

Is 295 a prime number?

No, 295 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 295 is also divisible by 5.

What is the prime factorization of 295?

The prime factorization of 295 is 5 × 59. Written out in full: 5 × 59 = 295. Its distinct prime factors are 5, 59.

What two numbers multiply to give 295?

There are 2 pairs of whole numbers that multiply to 295: 1 × 295, 5 × 59.

What is the sum of the factors of 295?

Adding all the factors of 295 together gives 360. Excluding 295 itself, the proper factors sum to 65.

Is 295 a perfect square?

No, 295 is not a perfect square. There is no whole number that multiplies by itself to give 295. The nearest perfect squares are 289 and 324.

What is the largest factor of 295 other than itself?

The largest factor of 295 apart from 295 itself is 59, since 295 ÷ 59 = 5.

How many factors does 295 have?

295 has 4 factors: 1, 5, 59, and 295. You can verify this from the prime factorization 5 × 59: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 295 down further with the prime factorization calculator, or compare 295 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.