Q: What are the prime factors of the number 154,554,228?

 A: 2, 3, 4293173

Why are those the prime factors of the number 154,554,228?

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 154,554,228

154,554,228
Factor Arrows
277,277,114
Factor Arrows
238,638,557
Factor Arrows
312,879,519
Factor Arrows
34,293,173

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, 4293173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 4,293,173 = 154,554,228

This can also be written as 22 x 32 x 4,293,1731 = 154,554,228

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


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