Q: What are the prime factors of the number 332,431,424?

 A: 2, 13, 399557

Why are those the prime factors of the number 332,431,424?

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 332,431,424

332,431,424
Factor Arrows
2166,215,712
Factor Arrows
283,107,856
Factor Arrows
241,553,928
Factor Arrows
220,776,964
Factor Arrows
210,388,482
Factor Arrows
25,194,241
Factor Arrows
13399,557

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, 399557

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 399,557 = 332,431,424

This can also be written as 26 x 131 x 399,5571 = 332,431,424

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


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