Q: What are the prime factors of the number 346,150,063?

 A: 7, 71, 99497

Why are those the prime factors of the number 346,150,063?

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 346,150,063

346,150,063
Factor Arrows
749,450,009
Factor Arrows
77,064,287
Factor Arrows
7199,497

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:

7, 71, 99497

We can check our work by multiplying all of the prime factors together: 7 x 7 x 71 x 99,497 = 346,150,063

This can also be written as 72 x 711 x 99,4971 = 346,150,063

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


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