Q: What are the prime factors of the number 72,930,600?

 A: 2, 3, 5, 31, 1307

Why are those the prime factors of the number 72,930,600?

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 72,930,600

72,930,600
Factor Arrows
236,465,300
Factor Arrows
218,232,650
Factor Arrows
29,116,325
Factor Arrows
33,038,775
Factor Arrows
31,012,925
Factor Arrows
5202,585
Factor Arrows
540,517
Factor Arrows
311,307

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, 31, 1307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 31 x 1,307 = 72,930,600

This can also be written as 23 x 32 x 52 x 311 x 1,3071 = 72,930,600

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


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