Q: What are the prime factors of the number 68,487,480?

 A: 2, 3, 5, 190243

Why are those the prime factors of the number 68,487,480?

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 68,487,480

68,487,480
Factor Arrows
234,243,740
Factor Arrows
217,121,870
Factor Arrows
28,560,935
Factor Arrows
32,853,645
Factor Arrows
3951,215
Factor Arrows
5190,243

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, 190243

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 190,243 = 68,487,480

This can also be written as 23 x 32 x 51 x 190,2431 = 68,487,480

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


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