Q: What are the prime factors of the number 73,577,280?

 A: 2, 3, 5, 7, 10949

Why are those the prime factors of the number 73,577,280?

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 73,577,280

73,577,280
Factor Arrows
236,788,640
Factor Arrows
218,394,320
Factor Arrows
29,197,160
Factor Arrows
24,598,580
Factor Arrows
22,299,290
Factor Arrows
21,149,645
Factor Arrows
3383,215
Factor Arrows
576,643
Factor Arrows
710,949

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, 5, 7, 10949

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 3 x 5 x 7 x 10,949 = 73,577,280

This can also be written as 26 x 31 x 51 x 71 x 10,9491 = 73,577,280

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


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