Q: What are the prime factors of the number 150,811,990?

 A: 2, 5, 7, 227, 9491

Why are those the prime factors of the number 150,811,990?

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 150,811,990

150,811,990
Factor Arrows
275,405,995
Factor Arrows
515,081,199
Factor Arrows
72,154,457
Factor Arrows
2279,491

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, 227, 9491

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 227 x 9,491 = 150,811,990

This can also be written as 21 x 51 x 71 x 2271 x 9,4911 = 150,811,990

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


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