Q: What are the prime factors of the number 168,038,542?

 A: 2, 7, 109, 15731

Why are those the prime factors of the number 168,038,542?

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 168,038,542

168,038,542
Factor Arrows
284,019,271
Factor Arrows
712,002,753
Factor Arrows
71,714,679
Factor Arrows
10915,731

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, 7, 109, 15731

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 109 x 15,731 = 168,038,542

This can also be written as 21 x 72 x 1091 x 15,7311 = 168,038,542

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


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