Q: What are the prime factors of the number 61,997,328?

 A: 2, 3, 23, 18719

Why are those the prime factors of the number 61,997,328?

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 61,997,328

61,997,328
Factor Arrows
230,998,664
Factor Arrows
215,499,332
Factor Arrows
27,749,666
Factor Arrows
23,874,833
Factor Arrows
31,291,611
Factor Arrows
3430,537
Factor Arrows
2318,719

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, 23, 18719

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 23 x 18,719 = 61,997,328

This can also be written as 24 x 32 x 231 x 18,7191 = 61,997,328

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


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