Q: What are the prime factors of the number 45,385,026?

 A: 2, 3, 23, 79, 181

Why are those the prime factors of the number 45,385,026?

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 45,385,026

45,385,026
Factor Arrows
222,692,513
Factor Arrows
37,564,171
Factor Arrows
23328,877
Factor Arrows
2314,299
Factor Arrows
79181

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, 23, 79, 181

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 23 x 79 x 181 = 45,385,026

This can also be written as 21 x 31 x 232 x 791 x 1811 = 45,385,026

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


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