Enter a whole number to list every positive factor (divisor) that divides evenly into it.
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This calculator checks every whole number up to the square root of your number, and whenever one divides evenly, both it and its paired divisor (number ÷ that divisor) are added to the list, which is an efficient way to find all factors without checking every number up to the value itself.
The Prime Factorization Calculator breaks a number down into only its prime factors (like 2, 3 and 5 for the number 30). This calculator instead lists every factor, prime or not, that divides evenly into the number (for 30, that's 1, 2, 3, 5, 6, 10, 15 and 30).
For 24: checking divisors up to √24 ≈ 4.9 (so 1 through 4) finds 1 (paired with 24), 2 (paired with 12), 3 (paired with 8), and 4 (paired with 6). Combining and sorting all of these gives the complete factor list: 1, 2, 3, 4, 6, 8, 12, 24, a total of 8 factors. Since it has more than 2 factors, 24 is not prime.
Confusing this tool with the Prime Factorization Calculator, this one lists every factor (prime or not) that divides evenly into the number, while prime factorization breaks the number down into only its prime building blocks, they answer related but different questions.
Forgetting that 1 and the number itself always count as factors, even a prime number technically has two factors (1 and itself), not zero.
Stopping the search partway through and missing paired factors, every factor below the square root pairs with a corresponding factor above it (like 3 pairing with 8 for 24), missing this pairing undercounts the total factor list.
This calculator supports whole numbers up to 10,000,000.
A prime number has exactly two factors, 1 and itself. This calculator flags that directly in the 'Is Prime?' result.
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