Factors of 75
There are 6 factors of 75 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 75
1, 3, 5, 15, 25, 75
Factor pairs of 75
- 1 × 75
- 3 × 25
- 5 × 15
Prime factorization of 75
75 = 3 × 5²
Number facts
- 75 is a composite number.
- 75 has 6 factors.
- 75 is not a perfect square.
- The sum of all factors of 75 is 124.
Divisibility rules that apply to 75
- 75 is divisible by 3 because the sum of its digits (12) is divisible by 3.
- 75 is divisible by 5 because it ends in 0 or 5.
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How the factors of 75 are calculated
To find the factors of 75, every whole number from 1 up to the square root of 75(about 8.66) is tested for even division. 75 is odd, and it divides evenly by 3, 5, 15, 25. Written as a product of primes, 75 = 3 × 5², which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 75
How many factors does 75 have?
75 has 6 factors: 1, 3, 5, 15, 25, 75.
Is 75 a prime number?
No. 75 is composite because it has factors other than 1 and itself.
What are the factor pairs of 75?
The factor pairs of 75 are 1 × 75, 3 × 25, 5 × 15.
What is the prime factorization of 75?
The prime factorization of 75 is 3 × 5².