Q: What are the prime factors of the number 334,120,140?

 A: 2, 3, 5, 68749

Why are those the prime factors of the number 334,120,140?

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 334,120,140

334,120,140
Factor Arrows
2167,060,070
Factor Arrows
283,530,035
Factor Arrows
327,843,345
Factor Arrows
39,281,115
Factor Arrows
33,093,705
Factor Arrows
31,031,235
Factor Arrows
3343,745
Factor Arrows
568,749

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, 68749

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 68,749 = 334,120,140

This can also be written as 22 x 35 x 51 x 68,7491 = 334,120,140

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


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