Q: What are the prime factors of the number 542,174,430?

 A: 2, 3, 5, 7, 29, 127, 701

Why are those the prime factors of the number 542,174,430?

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 542,174,430

542,174,430
Factor Arrows
2271,087,215
Factor Arrows
390,362,405
Factor Arrows
518,072,481
Factor Arrows
72,581,783
Factor Arrows
2989,027
Factor Arrows
127701

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, 5, 7, 29, 127, 701

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 29 x 127 x 701 = 542,174,430

This can also be written as 21 x 31 x 51 x 71 x 291 x 1271 x 7011 = 542,174,430

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


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