Q: What are the prime factors of the number 473,426,709?

 A: 3, 7, 421, 53549

Why are those the prime factors of the number 473,426,709?

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 473,426,709

473,426,709
Factor Arrows
3157,808,903
Factor Arrows
722,544,129
Factor Arrows
42153,549

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:

3, 7, 421, 53549

We can check our work by multiplying all of the prime factors together: 3 x 7 x 421 x 53,549 = 473,426,709

This can also be written as 31 x 71 x 4211 x 53,5491 = 473,426,709

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


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