Q: What are the prime factors of the number 45,357,354?

 A: 2, 3, 7, 119993

Why are those the prime factors of the number 45,357,354?

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 45,357,354

45,357,354
Factor Arrows
222,678,677
Factor Arrows
37,559,559
Factor Arrows
32,519,853
Factor Arrows
3839,951
Factor Arrows
7119,993

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, 7, 119993

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 119,993 = 45,357,354

This can also be written as 21 x 33 x 71 x 119,9931 = 45,357,354

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


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