Q: What are the prime factors of the number 14,796,975?

 A: 3, 5, 197293

Why are those the prime factors of the number 14,796,975?

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 14,796,975

14,796,975
Factor Arrows
34,932,325
Factor Arrows
5986,465
Factor Arrows
5197,293

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, 5, 197293

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 197,293 = 14,796,975

This can also be written as 31 x 52 x 197,2931 = 14,796,975

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


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