Q: What are the prime factors of the number 71,000,020?

 A: 2, 5, 7, 13, 5573

Why are those the prime factors of the number 71,000,020?

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 71,000,020

71,000,020
Factor Arrows
235,500,010
Factor Arrows
217,750,005
Factor Arrows
53,550,001
Factor Arrows
7507,143
Factor Arrows
772,449
Factor Arrows
135,573

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, 5, 7, 13, 5573

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 13 x 5,573 = 71,000,020

This can also be written as 22 x 51 x 72 x 131 x 5,5731 = 71,000,020

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


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