How Many Factors Does 48 Have?
48 has 10 factors. You can count them without listing them, by using the prime factorization of 48.
Step 1: Prime Factorization
48 = 2 × 2 × 2 × 2 × 3, written 2⁴ × 3 with exponents.
Step 2: Add 1 to Each Exponent
- 2 has exponent 4, so it gives 4 + 1 = 5 choices
- 3 has exponent 1, so it gives 1 + 1 = 2 choices
Step 3: Multiply
(4 + 1) × (1 + 1) = 5 × 2 = 10
The Factors of 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
That is 10 numbers, which matches the count.
See them paired up on the factors of 48 page.
Is 48 a perfect square?
No. At least one exponent is odd, so 48 is not a perfect square and its factors come in pairs. Count the factors of another number in the Number of Factors Calculator.