Q: What are the prime factors of the number 154,224,032?

 A: 2, 4819501

Why are those the prime factors of the number 154,224,032?

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 154,224,032

154,224,032
Factor Arrows
277,112,016
Factor Arrows
238,556,008
Factor Arrows
219,278,004
Factor Arrows
29,639,002
Factor Arrows
24,819,501

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, 4819501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 4,819,501 = 154,224,032

This can also be written as 25 x 4,819,5011 = 154,224,032

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


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