Q: What are the prime factors of the number 424,036,716?

 A: 2, 3, 149, 237157

Why are those the prime factors of the number 424,036,716?

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 424,036,716

424,036,716
Factor Arrows
2212,018,358
Factor Arrows
2106,009,179
Factor Arrows
335,336,393
Factor Arrows
149237,157

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, 3, 149, 237157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 149 x 237,157 = 424,036,716

This can also be written as 22 x 31 x 1491 x 237,1571 = 424,036,716

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


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