Q: What are the prime factors of the number 184,088,150?

 A: 2, 5, 19, 107, 1811

Why are those the prime factors of the number 184,088,150?

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 184,088,150

184,088,150
Factor Arrows
292,044,075
Factor Arrows
518,408,815
Factor Arrows
53,681,763
Factor Arrows
19193,777
Factor Arrows
1071,811

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, 19, 107, 1811

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 19 x 107 x 1,811 = 184,088,150

This can also be written as 21 x 52 x 191 x 1071 x 1,8111 = 184,088,150

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


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