Q: What are the prime factors of the number 338,346,600?

 A: 2, 3, 5, 643, 877

Why are those the prime factors of the number 338,346,600?

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 338,346,600

338,346,600
Factor Arrows
2169,173,300
Factor Arrows
284,586,650
Factor Arrows
242,293,325
Factor Arrows
314,097,775
Factor Arrows
52,819,555
Factor Arrows
5563,911
Factor Arrows
643877

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, 3, 5, 643, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 643 x 877 = 338,346,600

This can also be written as 23 x 31 x 52 x 6431 x 8771 = 338,346,600

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


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