Q: What are the prime factors of the number 146,667,699?

 A: 3, 659, 8243

Why are those the prime factors of the number 146,667,699?

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 146,667,699

146,667,699
Factor Arrows
348,889,233
Factor Arrows
316,296,411
Factor Arrows
35,432,137
Factor Arrows
6598,243

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, 659, 8243

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 659 x 8,243 = 146,667,699

This can also be written as 33 x 6591 x 8,2431 = 146,667,699

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


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