Q: What are the prime factors of the number 3,374,848?

 A: 2, 13183

Why are those the prime factors of the number 3,374,848?

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 3,374,848

3,374,848
Factor Arrows
21,687,424
Factor Arrows
2843,712
Factor Arrows
2421,856
Factor Arrows
2210,928
Factor Arrows
2105,464
Factor Arrows
252,732
Factor Arrows
226,366
Factor Arrows
213,183

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, 13183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13,183 = 3,374,848

This can also be written as 28 x 13,1831 = 3,374,848

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


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