Q: What are the prime factors of the number 342,140,244?

 A: 2, 3, 41, 695407

Why are those the prime factors of the number 342,140,244?

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 342,140,244

342,140,244
Factor Arrows
2171,070,122
Factor Arrows
285,535,061
Factor Arrows
328,511,687
Factor Arrows
41695,407

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, 41, 695407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 41 x 695,407 = 342,140,244

This can also be written as 22 x 31 x 411 x 695,4071 = 342,140,244

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


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