Q: What are the prime factors of the number 155,412,150?

 A: 2, 3, 5, 23, 107, 421

Why are those the prime factors of the number 155,412,150?

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 155,412,150

155,412,150
Factor Arrows
277,706,075
Factor Arrows
325,902,025
Factor Arrows
55,180,405
Factor Arrows
51,036,081
Factor Arrows
2345,047
Factor Arrows
107421

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, 3, 5, 23, 107, 421

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 23 x 107 x 421 = 155,412,150

This can also be written as 21 x 31 x 52 x 231 x 1071 x 4211 = 155,412,150

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


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