Q: What are the prime factors of the number 423,530,432?

 A: 2, 13, 31, 16421

Why are those the prime factors of the number 423,530,432?

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 423,530,432

423,530,432
Factor Arrows
2211,765,216
Factor Arrows
2105,882,608
Factor Arrows
252,941,304
Factor Arrows
226,470,652
Factor Arrows
213,235,326
Factor Arrows
26,617,663
Factor Arrows
13509,051
Factor Arrows
3116,421

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, 13, 31, 16421

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 13 x 31 x 16,421 = 423,530,432

This can also be written as 26 x 131 x 311 x 16,4211 = 423,530,432

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


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