Q: What are the prime factors of the number 384,464?

 A: 2, 24029

Why are those the prime factors of the number 384,464?

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 384,464

384,464
Factor Arrows
2192,232
Factor Arrows
296,116
Factor Arrows
248,058
Factor Arrows
224,029

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, 24029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 24,029 = 384,464

This can also be written as 24 x 24,0291 = 384,464

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


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