Q: What are the prime factors of the number 184,440,688?

 A: 2, 307, 37549

Why are those the prime factors of the number 184,440,688?

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 184,440,688

184,440,688
Factor Arrows
292,220,344
Factor Arrows
246,110,172
Factor Arrows
223,055,086
Factor Arrows
211,527,543
Factor Arrows
30737,549

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, 307, 37549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 307 x 37,549 = 184,440,688

This can also be written as 24 x 3071 x 37,5491 = 184,440,688

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


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