Q: What are the prime factors of the number 432,422,112?

 A: 2, 3, 4504397

Why are those the prime factors of the number 432,422,112?

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 432,422,112

432,422,112
Factor Arrows
2216,211,056
Factor Arrows
2108,105,528
Factor Arrows
254,052,764
Factor Arrows
227,026,382
Factor Arrows
213,513,191
Factor Arrows
34,504,397

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, 4504397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 4,504,397 = 432,422,112

This can also be written as 25 x 31 x 4,504,3971 = 432,422,112

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


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