Q: What are the prime factors of the number 45,411,435?

 A: 3, 5, 31, 3617

Why are those the prime factors of the number 45,411,435?

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 45,411,435

45,411,435
Factor Arrows
315,137,145
Factor Arrows
35,045,715
Factor Arrows
31,681,905
Factor Arrows
3560,635
Factor Arrows
5112,127
Factor Arrows
313,617

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:

3, 5, 31, 3617

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 31 x 3,617 = 45,411,435

This can also be written as 34 x 51 x 311 x 3,6171 = 45,411,435

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


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