Q: What are the prime factors of the number 154,866,708?

 A: 2, 3, 97, 14783

Why are those the prime factors of the number 154,866,708?

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 154,866,708

154,866,708
Factor Arrows
277,433,354
Factor Arrows
238,716,677
Factor Arrows
312,905,559
Factor Arrows
34,301,853
Factor Arrows
31,433,951
Factor Arrows
9714,783

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, 97, 14783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 97 x 14,783 = 154,866,708

This can also be written as 22 x 33 x 971 x 14,7831 = 154,866,708

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


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