Q: What are the prime factors of the number 645,337,536?

 A: 2, 3, 3361133

Why are those the prime factors of the number 645,337,536?

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 645,337,536

645,337,536
Factor Arrows
2322,668,768
Factor Arrows
2161,334,384
Factor Arrows
280,667,192
Factor Arrows
240,333,596
Factor Arrows
220,166,798
Factor Arrows
210,083,399
Factor Arrows
33,361,133

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, 3361133

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 3 x 3,361,133 = 645,337,536

This can also be written as 26 x 31 x 3,361,1331 = 645,337,536

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


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