Q: What are the prime factors of the number 432,225,088?

 A: 2, 6753517

Why are those the prime factors of the number 432,225,088?

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 432,225,088

432,225,088
Factor Arrows
2216,112,544
Factor Arrows
2108,056,272
Factor Arrows
254,028,136
Factor Arrows
227,014,068
Factor Arrows
213,507,034
Factor Arrows
26,753,517

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, 6753517

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 6,753,517 = 432,225,088

This can also be written as 26 x 6,753,5171 = 432,225,088

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


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