Q: What are the prime factors of the number 71,740,400?

 A: 2, 5, 179351

Why are those the prime factors of the number 71,740,400?

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 71,740,400

71,740,400
Factor Arrows
235,870,200
Factor Arrows
217,935,100
Factor Arrows
28,967,550
Factor Arrows
24,483,775
Factor Arrows
5896,755
Factor Arrows
5179,351

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, 179351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 179,351 = 71,740,400

This can also be written as 24 x 52 x 179,3511 = 71,740,400

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


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