Q: What are the prime factors of the number 154,004,000?

 A: 2, 5, 38501

Why are those the prime factors of the number 154,004,000?

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 154,004,000

154,004,000
Factor Arrows
277,002,000
Factor Arrows
238,501,000
Factor Arrows
219,250,500
Factor Arrows
29,625,250
Factor Arrows
24,812,625
Factor Arrows
5962,525
Factor Arrows
5192,505
Factor Arrows
538,501

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, 5, 38501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 38,501 = 154,004,000

This can also be written as 25 x 53 x 38,5011 = 154,004,000

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


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