Q: What are the prime factors of the number 432,234,312?

 A: 2, 3, 18009763

Why are those the prime factors of the number 432,234,312?

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 432,234,312

432,234,312
Factor Arrows
2216,117,156
Factor Arrows
2108,058,578
Factor Arrows
254,029,289
Factor Arrows
318,009,763

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, 18009763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 18,009,763 = 432,234,312

This can also be written as 23 x 31 x 18,009,7631 = 432,234,312

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


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