Q: What are the prime factors of the number 97,014,494?

 A: 2, 19, 139, 18367

Why are those the prime factors of the number 97,014,494?

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 97,014,494

97,014,494
Factor Arrows
248,507,247
Factor Arrows
192,553,013
Factor Arrows
13918,367

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, 19, 139, 18367

We can check our work by multiplying all of the prime factors together: 2 x 19 x 139 x 18,367 = 97,014,494

This can also be written as 21 x 191 x 1391 x 18,3671 = 97,014,494

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


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