Q: What are the prime factors of the number 47,026,376?

 A: 2, 97, 60601

Why are those the prime factors of the number 47,026,376?

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 47,026,376

47,026,376
Factor Arrows
223,513,188
Factor Arrows
211,756,594
Factor Arrows
25,878,297
Factor Arrows
9760,601

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, 97, 60601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 97 x 60,601 = 47,026,376

This can also be written as 23 x 971 x 60,6011 = 47,026,376

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


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