Q: What are the prime factors of the number 643,365,536?

 A: 2, 11, 19, 61, 83

Why are those the prime factors of the number 643,365,536?

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 643,365,536

643,365,536
Factor Arrows
2321,682,768
Factor Arrows
2160,841,384
Factor Arrows
280,420,692
Factor Arrows
240,210,346
Factor Arrows
220,105,173
Factor Arrows
111,827,743
Factor Arrows
1996,197
Factor Arrows
195,063
Factor Arrows
6183

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, 11, 19, 61, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 19 x 19 x 61 x 83 = 643,365,536

This can also be written as 25 x 111 x 192 x 611 x 831 = 643,365,536

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


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