Q: What are the prime factors of the number 477,466,732?

 A: 2, 19, 6282457

Why are those the prime factors of the number 477,466,732?

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 477,466,732

477,466,732
Factor Arrows
2238,733,366
Factor Arrows
2119,366,683
Factor Arrows
196,282,457

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, 19, 6282457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 6,282,457 = 477,466,732

This can also be written as 22 x 191 x 6,282,4571 = 477,466,732

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


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