Q: What are the prime factors of the number 94,508,883?

 A: 3, 7, 29, 43, 401

Why are those the prime factors of the number 94,508,883?

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 94,508,883

94,508,883
Factor Arrows
331,502,961
Factor Arrows
310,500,987
Factor Arrows
33,500,329
Factor Arrows
7500,047
Factor Arrows
2917,243
Factor Arrows
43401

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, 7, 29, 43, 401

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 29 x 43 x 401 = 94,508,883

This can also be written as 33 x 71 x 291 x 431 x 4011 = 94,508,883

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


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