Q: What are the prime factors of the number 341,013,040?

 A: 2, 5, 109, 39107

Why are those the prime factors of the number 341,013,040?

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 341,013,040

341,013,040
Factor Arrows
2170,506,520
Factor Arrows
285,253,260
Factor Arrows
242,626,630
Factor Arrows
221,313,315
Factor Arrows
54,262,663
Factor Arrows
10939,107

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, 109, 39107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 109 x 39,107 = 341,013,040

This can also be written as 24 x 51 x 1091 x 39,1071 = 341,013,040

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


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