Factors of 525
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, and 525. In total, 525 has 12 factors. Its prime factorization is 3 × 5² × 7, and the sum of all its factors is 992.
All factors of 525
Here are all 12 factors of 525, listed from smallest to largest.
Factor pairs of 525
These 6 pairs of whole numbers each multiply to give 525.
Prime factorization of 525
Dividing 525 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 525 are 3, 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 525
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 525
| Number of factors | 12 |
|---|---|
| Sum of factors | 992 |
| Sum of proper factors | 467 |
| Prime factorization | 3 × 5² × 7 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 525 interesting
- 525 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 525 is a deficient number: its proper factors sum to 467, which is 58 less than 525 itself.
- 525 has 3 distinct prime factors (3, 5, 7), which is why it has so many divisors.
How to find the factors of 525 yourself
Divide 525 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 √525 ≈ 22.91, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 525.
Frequently asked questions about 525
What are the factors of 525?
Is 525 a prime number?
What is the prime factorization of 525?
What two numbers multiply to give 525?
What is the sum of the factors of 525?
Is 525 a perfect square?
What is the largest factor of 525 other than itself?
How many factors does 525 have?
Explore more
Try another number in the factor calculator, break 525 down further with the prime factorization calculator, or compare 525 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.