Q: What are the prime factors of the number 71,630,068?

 A: 2, 47, 381011

Why are those the prime factors of the number 71,630,068?

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 71,630,068

71,630,068
Factor Arrows
235,815,034
Factor Arrows
217,907,517
Factor Arrows
47381,011

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, 47, 381011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 47 x 381,011 = 71,630,068

This can also be written as 22 x 471 x 381,0111 = 71,630,068

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


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