Q: What are the prime factors of the number 184,522,048?

 A: 2, 2883157

Why are those the prime factors of the number 184,522,048?

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 184,522,048

184,522,048
Factor Arrows
292,261,024
Factor Arrows
246,130,512
Factor Arrows
223,065,256
Factor Arrows
211,532,628
Factor Arrows
25,766,314
Factor Arrows
22,883,157

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, 2883157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2,883,157 = 184,522,048

This can also be written as 26 x 2,883,1571 = 184,522,048

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


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