Q: What are the prime factors of the number 24,773,440?

 A: 2, 5, 77417

Why are those the prime factors of the number 24,773,440?

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 24,773,440

24,773,440
Factor Arrows
212,386,720
Factor Arrows
26,193,360
Factor Arrows
23,096,680
Factor Arrows
21,548,340
Factor Arrows
2774,170
Factor Arrows
2387,085
Factor Arrows
577,417

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, 5, 77417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 77,417 = 24,773,440

This can also be written as 26 x 51 x 77,4171 = 24,773,440

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


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