Q: What are the prime factors of the number 340,411,220?

 A: 2, 5, 19, 43, 83, 251

Why are those the prime factors of the number 340,411,220?

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 340,411,220

340,411,220
Factor Arrows
2170,205,610
Factor Arrows
285,102,805
Factor Arrows
517,020,561
Factor Arrows
19895,819
Factor Arrows
4320,833
Factor Arrows
83251

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, 19, 43, 83, 251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 43 x 83 x 251 = 340,411,220

This can also be written as 22 x 51 x 191 x 431 x 831 x 2511 = 340,411,220

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


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