Q: What are the prime factors of the number 94,095,801?

 A: 3, 151, 69239

Why are those the prime factors of the number 94,095,801?

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 94,095,801

94,095,801
Factor Arrows
331,365,267
Factor Arrows
310,455,089
Factor Arrows
15169,239

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, 151, 69239

We can check our work by multiplying all of the prime factors together: 3 x 3 x 151 x 69,239 = 94,095,801

This can also be written as 32 x 1511 x 69,2391 = 94,095,801

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


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