Q: What are the prime factors of the number 54,305,424?

 A: 2, 3, 125707

Why are those the prime factors of the number 54,305,424?

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 54,305,424

54,305,424
Factor Arrows
227,152,712
Factor Arrows
213,576,356
Factor Arrows
26,788,178
Factor Arrows
23,394,089
Factor Arrows
31,131,363
Factor Arrows
3377,121
Factor Arrows
3125,707

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, 125707

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 125,707 = 54,305,424

This can also be written as 24 x 33 x 125,7071 = 54,305,424

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


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