Q: What are the prime factors of the number 341,342,100?

 A: 2, 3, 5, 11, 1277

Why are those the prime factors of the number 341,342,100?

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 341,342,100

341,342,100
Factor Arrows
2170,671,050
Factor Arrows
285,335,525
Factor Arrows
328,445,175
Factor Arrows
39,481,725
Factor Arrows
33,160,575
Factor Arrows
31,053,525
Factor Arrows
3351,175
Factor Arrows
570,235
Factor Arrows
514,047
Factor Arrows
111,277

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, 11, 1277

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 5 x 11 x 1,277 = 341,342,100

This can also be written as 22 x 35 x 52 x 111 x 1,2771 = 341,342,100

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


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