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.
Factor pairs of 290
These 4 pairs of whole numbers each multiply to give 290.
Prime factorization of 290
Dividing 290 by the smallest prime at each step gives its prime factorization:
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.
Properties of 290
| Number of factors | 8 |
|---|---|
| Sum of factors | 540 |
| Sum of proper factors | 250 |
| Prime factorization | 2 × 5 × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √290 ≈ 17.03, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 29, 58, 145, 290. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 290.
Frequently asked questions about 290
What are the factors of 290?
Is 290 a prime number?
What is the prime factorization of 290?
What two numbers multiply to give 290?
What is the sum of the factors of 290?
Is 290 a perfect square?
What is the largest factor of 290 other than itself?
How many factors does 290 have?
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.