Q: What are the prime factors of the number 3,346,488?

 A: 2, 3, 15493

Why are those the prime factors of the number 3,346,488?

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 3,346,488

3,346,488
Factor Arrows
21,673,244
Factor Arrows
2836,622
Factor Arrows
2418,311
Factor Arrows
3139,437
Factor Arrows
346,479
Factor Arrows
315,493

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, 15493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 15,493 = 3,346,488

This can also be written as 23 x 33 x 15,4931 = 3,346,488

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


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