Q: What are the prime factors of the number 334,134,040?

 A: 2, 5, 613, 13627

Why are those the prime factors of the number 334,134,040?

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 334,134,040

334,134,040
Factor Arrows
2167,067,020
Factor Arrows
283,533,510
Factor Arrows
241,766,755
Factor Arrows
58,353,351
Factor Arrows
61313,627

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, 5, 613, 13627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 613 x 13,627 = 334,134,040

This can also be written as 23 x 51 x 6131 x 13,6271 = 334,134,040

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


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