Q: What are the prime factors of the number 424,031,164?

 A: 2, 53, 2000147

Why are those the prime factors of the number 424,031,164?

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 424,031,164

424,031,164
Factor Arrows
2212,015,582
Factor Arrows
2106,007,791
Factor Arrows
532,000,147

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, 53, 2000147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 53 x 2,000,147 = 424,031,164

This can also be written as 22 x 531 x 2,000,1471 = 424,031,164

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


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