Q: What are the prime factors of the number 3,609,536?

 A: 2, 7, 1151

Why are those the prime factors of the number 3,609,536?

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 3,609,536

3,609,536
Factor Arrows
21,804,768
Factor Arrows
2902,384
Factor Arrows
2451,192
Factor Arrows
2225,596
Factor Arrows
2112,798
Factor Arrows
256,399
Factor Arrows
78,057
Factor Arrows
71,151

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, 7, 1151

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 7 x 7 x 1,151 = 3,609,536

This can also be written as 26 x 72 x 1,1511 = 3,609,536

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


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