Q: What are the prime factors of the number 432,403,424?

 A: 2, 139, 97213

Why are those the prime factors of the number 432,403,424?

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 432,403,424

432,403,424
Factor Arrows
2216,201,712
Factor Arrows
2108,100,856
Factor Arrows
254,050,428
Factor Arrows
227,025,214
Factor Arrows
213,512,607
Factor Arrows
13997,213

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, 139, 97213

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 139 x 97,213 = 432,403,424

This can also be written as 25 x 1391 x 97,2131 = 432,403,424

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


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