Q: What are the prime factors of the number 3,285,488?

 A: 2, 17, 47, 257

Why are those the prime factors of the number 3,285,488?

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 3,285,488

3,285,488
Factor Arrows
21,642,744
Factor Arrows
2821,372
Factor Arrows
2410,686
Factor Arrows
2205,343
Factor Arrows
1712,079
Factor Arrows
47257

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, 17, 47, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 47 x 257 = 3,285,488

This can also be written as 24 x 171 x 471 x 2571 = 3,285,488

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


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