Q: What are the prime factors of the number 71,928,855?

 A: 3, 5, 67, 23857

Why are those the prime factors of the number 71,928,855?

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 71,928,855

71,928,855
Factor Arrows
323,976,285
Factor Arrows
37,992,095
Factor Arrows
51,598,419
Factor Arrows
6723,857

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:

3, 5, 67, 23857

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 67 x 23,857 = 71,928,855

This can also be written as 32 x 51 x 671 x 23,8571 = 71,928,855

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


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