Q: What are the prime factors of the number 3,458,850?

 A: 2, 3, 5, 23059

Why are those the prime factors of the number 3,458,850?

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 3,458,850

3,458,850
Factor Arrows
21,729,425
Factor Arrows
3576,475
Factor Arrows
5115,295
Factor Arrows
523,059

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, 23059

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 23,059 = 3,458,850

This can also be written as 21 x 31 x 52 x 23,0591 = 3,458,850

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


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