How Many Factors Does 1,001 Have?
1,001 has 8 factors. You can count them without listing them, by using the prime factorization of 1,001.
Step 1: Prime Factorization
1,001 = 7 × 11 × 13.
Step 2: Add 1 to Each Exponent
- 7 has exponent 1, so it gives 1 + 1 = 2 choices
- 11 has exponent 1, so it gives 1 + 1 = 2 choices
- 13 has exponent 1, so it gives 1 + 1 = 2 choices
Step 3: Multiply
(1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 = 8
The Factors of 1,001
1, 7, 11, 13, 77, 91, 143, 1,001
That is 8 numbers, which matches the count.
See them paired up on the factors of 1,001 page.
Is 1,001 a perfect square?
No. At least one exponent is odd, so 1,001 is not a perfect square and its factors come in pairs. Count the factors of another number in the Number of Factors Calculator.