Q: What are the prime factors of the number 158,545,185?

 A: 3, 5, 37, 285667

Why are those the prime factors of the number 158,545,185?

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 158,545,185

158,545,185
Factor Arrows
352,848,395
Factor Arrows
510,569,679
Factor Arrows
37285,667

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:

3, 5, 37, 285667

We can check our work by multiplying all of the prime factors together: 3 x 5 x 37 x 285,667 = 158,545,185

This can also be written as 31 x 51 x 371 x 285,6671 = 158,545,185

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


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