Q: What are the prime factors of the number 47,927,169?

 A: 3, 29, 47, 3907

Why are those the prime factors of the number 47,927,169?

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 47,927,169

47,927,169
Factor Arrows
315,975,723
Factor Arrows
35,325,241
Factor Arrows
29183,629
Factor Arrows
473,907

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:

3, 29, 47, 3907

We can check our work by multiplying all of the prime factors together: 3 x 3 x 29 x 47 x 3,907 = 47,927,169

This can also be written as 32 x 291 x 471 x 3,9071 = 47,927,169

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


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