Q: What are the prime factors of the number 3,196,496?

 A: 2, 29, 83

Why are those the prime factors of the number 3,196,496?

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 3,196,496

3,196,496
Factor Arrows
21,598,248
Factor Arrows
2799,124
Factor Arrows
2399,562
Factor Arrows
2199,781
Factor Arrows
296,889
Factor Arrows
8383

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, 29, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 29 x 83 x 83 = 3,196,496

This can also be written as 24 x 291 x 832 = 3,196,496

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


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