Q: What are the prime factors of the number 10,818,432?

 A: 2, 3, 9391

Why are those the prime factors of the number 10,818,432?

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 10,818,432

10,818,432
Factor Arrows
25,409,216
Factor Arrows
22,704,608
Factor Arrows
21,352,304
Factor Arrows
2676,152
Factor Arrows
2338,076
Factor Arrows
2169,038
Factor Arrows
284,519
Factor Arrows
328,173
Factor Arrows
39,391

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, 3, 9391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 9,391 = 10,818,432

This can also be written as 27 x 32 x 9,3911 = 10,818,432

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 10,818,432:


Ask a Question