Q: What are the prime factors of the number 534,023,766?

 A: 2, 3, 19, 173497

Why are those the prime factors of the number 534,023,766?

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 534,023,766

534,023,766
Factor Arrows
2267,011,883
Factor Arrows
389,003,961
Factor Arrows
329,667,987
Factor Arrows
39,889,329
Factor Arrows
33,296,443
Factor Arrows
19173,497

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, 19, 173497

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 19 x 173,497 = 534,023,766

This can also be written as 21 x 34 x 191 x 173,4971 = 534,023,766

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


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