Q: What are the prime factors of the number 158,573,150?

 A: 2, 5, 199, 15937

Why are those the prime factors of the number 158,573,150?

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 158,573,150

158,573,150
Factor Arrows
279,286,575
Factor Arrows
515,857,315
Factor Arrows
53,171,463
Factor Arrows
19915,937

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, 199, 15937

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 199 x 15,937 = 158,573,150

This can also be written as 21 x 52 x 1991 x 15,9371 = 158,573,150

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


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