Q: What are the prime factors of the number 734,746,467?

 A: 3, 7, 13, 239, 11261

Why are those the prime factors of the number 734,746,467?

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 734,746,467

734,746,467
Factor Arrows
3244,915,489
Factor Arrows
734,987,927
Factor Arrows
132,691,379
Factor Arrows
23911,261

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, 7, 13, 239, 11261

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 239 x 11,261 = 734,746,467

This can also be written as 31 x 71 x 131 x 2391 x 11,2611 = 734,746,467

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


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