Q: What are the prime factors of the number 17,411,576?

 A: 2, 7, 13, 23917

Why are those the prime factors of the number 17,411,576?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 17,411,576

17,411,576
Factor Arrows
28,705,788
Factor Arrows
24,352,894
Factor Arrows
22,176,447
Factor Arrows
7310,921
Factor Arrows
1323,917

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 13, 23917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 13 x 23,917 = 17,411,576

This can also be written as 23 x 71 x 131 x 23,9171 = 17,411,576

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 17,411,576:


Ask a Question