Factor Calculator

Factors of 290

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290. In total, 290 has 8 factors. Its prime factorization is 2 × 5 × 29, and the sum of all its factors is 540.

All factors of 290

Here are all 8 factors of 290, listed from smallest to largest.

125102958145290

Factor pairs of 290

These 4 pairs of whole numbers each multiply to give 290.

1 × 290 = 290
2 × 145 = 290
5 × 58 = 290
10 × 29 = 290

Prime factorization of 290

Dividing 290 by the smallest prime at each step gives its prime factorization:

290 ÷ 2 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
Result: 290 = 2 × 5 × 29 = 2 × 5 × 29

The distinct prime factors of 290 are 2, 5, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 290

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

Factor tree of 2902902145529
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 290

Number of factors8
Sum of factors540
Sum of proper factors250
Prime factorization2 × 5 × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 290 interesting

  • 290 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 290 is a deficient number: its proper factors sum to 250, which is 40 less than 290 itself.
  • 290 has 3 distinct prime factors (2, 5, 29), which is why it has so many divisors.

How to find the factors of 290 yourself

Divide 290 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 √29017.03, because every factor above that pairs with one below it.

290 ÷ 1 = 290
290 ÷ 2 = 145
290 ÷ 5 = 58
290 ÷ 10 = 29

Reading both columns gives every factor: 1, 2, 5, 10, 29, 58, 145, 290. The factor calculator does this automatically for any number.

Frequently asked questions about 290

What are the factors of 290?

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290. That is 8 factors in total, counting both 1 and 290.

Is 290 a prime number?

No, 290 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 290 is also divisible by 2.

What is the prime factorization of 290?

The prime factorization of 290 is 2 × 5 × 29. Written out in full: 2 × 5 × 29 = 290. Its distinct prime factors are 2, 5, 29.

What two numbers multiply to give 290?

There are 4 pairs of whole numbers that multiply to 290: 1 × 290, 2 × 145, 5 × 58, 10 × 29.

What is the sum of the factors of 290?

Adding all the factors of 290 together gives 540. Excluding 290 itself, the proper factors sum to 250.

Is 290 a perfect square?

No, 290 is not a perfect square. There is no whole number that multiplies by itself to give 290. The nearest perfect squares are 289 and 324.

What is the largest factor of 290 other than itself?

The largest factor of 290 apart from 290 itself is 145, since 290 ÷ 145 = 2.

How many factors does 290 have?

290 has 8 factors: 1, 2, 5, 10, 29, 58, 145, and 290. You can verify this from the prime factorization 2 × 5 × 29: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 290 down further with the prime factorization calculator, or compare 290 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.