Q: What are the prime factors of the number 45,456,240?

 A: 2, 3, 5, 189401

Why are those the prime factors of the number 45,456,240?

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 45,456,240

45,456,240
Factor Arrows
222,728,120
Factor Arrows
211,364,060
Factor Arrows
25,682,030
Factor Arrows
22,841,015
Factor Arrows
3947,005
Factor Arrows
5189,401

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, 5, 189401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 189,401 = 45,456,240

This can also be written as 24 x 31 x 51 x 189,4011 = 45,456,240

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


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