Q: What are the prime factors of the number 95,843,740?

 A: 2, 5, 397, 12071

Why are those the prime factors of the number 95,843,740?

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 95,843,740

95,843,740
Factor Arrows
247,921,870
Factor Arrows
223,960,935
Factor Arrows
54,792,187
Factor Arrows
39712,071

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, 397, 12071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 397 x 12,071 = 95,843,740

This can also be written as 22 x 51 x 3971 x 12,0711 = 95,843,740

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


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