Q: What are the prime factors of the number 268,934,384?

 A: 2, 43, 390893

Why are those the prime factors of the number 268,934,384?

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 268,934,384

268,934,384
Factor Arrows
2134,467,192
Factor Arrows
267,233,596
Factor Arrows
233,616,798
Factor Arrows
216,808,399
Factor Arrows
43390,893

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, 43, 390893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 43 x 390,893 = 268,934,384

This can also be written as 24 x 431 x 390,8931 = 268,934,384

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


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