Q: What are the prime factors of the number 154,440,234?

 A: 2, 3, 13, 660001

Why are those the prime factors of the number 154,440,234?

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 154,440,234

154,440,234
Factor Arrows
277,220,117
Factor Arrows
325,740,039
Factor Arrows
38,580,013
Factor Arrows
13660,001

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, 13, 660001

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 660,001 = 154,440,234

This can also be written as 21 x 32 x 131 x 660,0011 = 154,440,234

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


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