Q: What are the prime factors of the number 231,178,150?

 A: 2, 5, 7, 660509

Why are those the prime factors of the number 231,178,150?

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 231,178,150

231,178,150
Factor Arrows
2115,589,075
Factor Arrows
523,117,815
Factor Arrows
54,623,563
Factor Arrows
7660,509

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, 5, 7, 660509

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 660,509 = 231,178,150

This can also be written as 21 x 52 x 71 x 660,5091 = 231,178,150

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


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