Q: What are the prime factors of the number 60,123,447?

 A: 3, 227, 29429

Why are those the prime factors of the number 60,123,447?

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 60,123,447

60,123,447
Factor Arrows
320,041,149
Factor Arrows
36,680,383
Factor Arrows
22729,429

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, 227, 29429

We can check our work by multiplying all of the prime factors together: 3 x 3 x 227 x 29,429 = 60,123,447

This can also be written as 32 x 2271 x 29,4291 = 60,123,447

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


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