Factor Calculator

Factors of 425

The factors of 425 are 1, 5, 17, 25, 85, and 425. In total, 425 has 6 factors. Its prime factorization is 5² × 17, and the sum of all its factors is 558.

All factors of 425

Here are all 6 factors of 425, listed from smallest to largest.

15172585425

Factor pairs of 425

These 3 pairs of whole numbers each multiply to give 425.

1 × 425 = 425
5 × 85 = 425
17 × 25 = 425

Prime factorization of 425

Dividing 425 by the smallest prime at each step gives its prime factorization:

425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
Result: 425 = 5 × 5 × 17 = 5² × 17

The distinct prime factors of 425 are 5, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 425

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

Factor tree of 425425585517
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 425

Number of factors6
Sum of factors558
Sum of proper factors133
Prime factorization5² × 17
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 425 interesting

  • 425 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.
  • 425 is a deficient number: its proper factors sum to 133, which is 292 less than 425 itself.

How to find the factors of 425 yourself

Divide 425 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 √42520.62, because every factor above that pairs with one below it.

425 ÷ 1 = 425
425 ÷ 5 = 85
425 ÷ 17 = 25

Reading both columns gives every factor: 1, 5, 17, 25, 85, 425. The factor calculator does this automatically for any number.

Frequently asked questions about 425

What are the factors of 425?

The factors of 425 are 1, 5, 17, 25, 85, and 425. That is 6 factors in total, counting both 1 and 425.

Is 425 a prime number?

No, 425 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 425 is also divisible by 5.

What is the prime factorization of 425?

The prime factorization of 425 is 5² × 17. Written out in full: 5 × 5 × 17 = 425. Its distinct prime factors are 5, 17.

What two numbers multiply to give 425?

There are 3 pairs of whole numbers that multiply to 425: 1 × 425, 5 × 85, 17 × 25.

What is the sum of the factors of 425?

Adding all the factors of 425 together gives 558. Excluding 425 itself, the proper factors sum to 133.

Is 425 a perfect square?

No, 425 is not a perfect square. There is no whole number that multiplies by itself to give 425. The nearest perfect squares are 400 and 441.

What is the largest factor of 425 other than itself?

The largest factor of 425 apart from 425 itself is 85, since 425 ÷ 85 = 5.

How many factors does 425 have?

425 has 6 factors: 1, 5, 17, 25, 85, and 425. You can verify this from the prime factorization 5² × 17: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 425 down further with the prime factorization calculator, or compare 425 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.