Q: What are the prime factors of the number 3,846,096?

 A: 2, 3, 29, 307

Why are those the prime factors of the number 3,846,096?

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 3,846,096

3,846,096
Factor Arrows
21,923,048
Factor Arrows
2961,524
Factor Arrows
2480,762
Factor Arrows
2240,381
Factor Arrows
380,127
Factor Arrows
326,709
Factor Arrows
38,903
Factor Arrows
29307

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, 29, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 29 x 307 = 3,846,096

This can also be written as 24 x 33 x 291 x 3071 = 3,846,096

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


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