Q: What are the prime factors of the number 673,032,352?

 A: 2, 59, 356479

Why are those the prime factors of the number 673,032,352?

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 673,032,352

673,032,352
Factor Arrows
2336,516,176
Factor Arrows
2168,258,088
Factor Arrows
284,129,044
Factor Arrows
242,064,522
Factor Arrows
221,032,261
Factor Arrows
59356,479

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, 59, 356479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 59 x 356,479 = 673,032,352

This can also be written as 25 x 591 x 356,4791 = 673,032,352

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


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