Q: What are the prime factors of the number 47,851,336?

 A: 2, 13, 35393

Why are those the prime factors of the number 47,851,336?

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 47,851,336

47,851,336
Factor Arrows
223,925,668
Factor Arrows
211,962,834
Factor Arrows
25,981,417
Factor Arrows
13460,109
Factor Arrows
1335,393

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, 13, 35393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 13 x 35,393 = 47,851,336

This can also be written as 23 x 132 x 35,3931 = 47,851,336

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


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