Q: What are the prime factors of the number 432,104,552?

 A: 2, 11, 446389

Why are those the prime factors of the number 432,104,552?

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 432,104,552

432,104,552
Factor Arrows
2216,052,276
Factor Arrows
2108,026,138
Factor Arrows
254,013,069
Factor Arrows
114,910,279
Factor Arrows
11446,389

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, 11, 446389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 446,389 = 432,104,552

This can also be written as 23 x 112 x 446,3891 = 432,104,552

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


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