Factors of 48
There are 10 factors of 48 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factor pairs of 48
- 1 × 48
- 2 × 24
- 3 × 16
- 4 × 12
- 6 × 8
Prime factorization of 48
48 = 2⁴ × 3
Number facts
- 48 is a composite number.
- 48 has 10 factors.
- 48 is not a perfect square.
- The sum of all factors of 48 is 124.
Divisibility rules that apply to 48
- 48 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 48 is divisible by 3 because the sum of its digits (12) is divisible by 3.
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How the factors of 48 are calculated
To find the factors of 48, every whole number from 1 up to the square root of 48(about 6.93) is tested for even division. 48 is even, and it divides evenly by 2, 3, 4, 6, among others. Written as a product of primes, 48 = 2⁴ × 3, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 48
How many factors does 48 have?
48 has 10 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Is 48 a prime number?
No. 48 is composite because it has factors other than 1 and itself.
What are the factor pairs of 48?
The factor pairs of 48 are 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8.
What is the prime factorization of 48?
The prime factorization of 48 is 2⁴ × 3.