Q: What are the prime factors of the number 614,615,543?

 A: 41, 73, 173, 1187

Why are those the prime factors of the number 614,615,543?

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 614,615,543

614,615,543
Factor Arrows
4114,990,623
Factor Arrows
73205,351
Factor Arrows
1731,187

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:

41, 73, 173, 1187

We can check our work by multiplying all of the prime factors together: 41 x 73 x 173 x 1,187 = 614,615,543

This can also be written as 411 x 731 x 1731 x 1,1871 = 614,615,543

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


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