Q: What are the prime factors of the number 3,067,848?

 A: 2, 3, 7, 2029

Why are those the prime factors of the number 3,067,848?

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 3,067,848

3,067,848
Factor Arrows
21,533,924
Factor Arrows
2766,962
Factor Arrows
2383,481
Factor Arrows
3127,827
Factor Arrows
342,609
Factor Arrows
314,203
Factor Arrows
72,029

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, 7, 2029

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 7 x 2,029 = 3,067,848

This can also be written as 23 x 33 x 71 x 2,0291 = 3,067,848

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


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