Q: What are the prime factors of the number 22,369,576?

 A: 2, 223, 12539

Why are those the prime factors of the number 22,369,576?

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 22,369,576

22,369,576
Factor Arrows
211,184,788
Factor Arrows
25,592,394
Factor Arrows
22,796,197
Factor Arrows
22312,539

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, 223, 12539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 223 x 12,539 = 22,369,576

This can also be written as 23 x 2231 x 12,5391 = 22,369,576

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


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