Q: What are the prime factors of the number 234,044,040?

 A: 2, 3, 5, 1950367

Why are those the prime factors of the number 234,044,040?

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 234,044,040

234,044,040
Factor Arrows
2117,022,020
Factor Arrows
258,511,010
Factor Arrows
229,255,505
Factor Arrows
39,751,835
Factor Arrows
51,950,367

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, 3, 5, 1950367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 1,950,367 = 234,044,040

This can also be written as 23 x 31 x 51 x 1,950,3671 = 234,044,040

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


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