Q: What are the prime factors of the number 154,321,636?

 A: 2, 7, 67, 82261

Why are those the prime factors of the number 154,321,636?

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 154,321,636

154,321,636
Factor Arrows
277,160,818
Factor Arrows
238,580,409
Factor Arrows
75,511,487
Factor Arrows
6782,261

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, 7, 67, 82261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 67 x 82,261 = 154,321,636

This can also be written as 22 x 71 x 671 x 82,2611 = 154,321,636

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


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