Q: What are the prime factors of the number 555,341,766?

 A: 2, 3, 7, 19, 695917

Why are those the prime factors of the number 555,341,766?

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 555,341,766

555,341,766
Factor Arrows
2277,670,883
Factor Arrows
392,556,961
Factor Arrows
713,222,423
Factor Arrows
19695,917

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, 7, 19, 695917

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 19 x 695,917 = 555,341,766

This can also be written as 21 x 31 x 71 x 191 x 695,9171 = 555,341,766

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


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