Q: What are the prime factors of the number 71,654,928?

 A: 2, 3, 19, 78569

Why are those the prime factors of the number 71,654,928?

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 71,654,928

71,654,928
Factor Arrows
235,827,464
Factor Arrows
217,913,732
Factor Arrows
28,956,866
Factor Arrows
24,478,433
Factor Arrows
31,492,811
Factor Arrows
1978,569

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, 19, 78569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 78,569 = 71,654,928

This can also be written as 24 x 31 x 191 x 78,5691 = 71,654,928

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


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