Q: What are the prime factors of the number 504,234,430?

 A: 2, 5, 7, 7203349

Why are those the prime factors of the number 504,234,430?

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 504,234,430

504,234,430
Factor Arrows
2252,117,215
Factor Arrows
550,423,443
Factor Arrows
77,203,349

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, 5, 7, 7203349

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7,203,349 = 504,234,430

This can also be written as 21 x 51 x 71 x 7,203,3491 = 504,234,430

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


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