Q: What are the prime factors of the number 45,410,004?

 A: 2, 3, 23, 101, 181

Why are those the prime factors of the number 45,410,004?

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 45,410,004

45,410,004
Factor Arrows
222,705,002
Factor Arrows
211,352,501
Factor Arrows
33,784,167
Factor Arrows
31,261,389
Factor Arrows
3420,463
Factor Arrows
2318,281
Factor Arrows
101181

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, 101, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 23 x 101 x 181 = 45,410,004

This can also be written as 22 x 33 x 231 x 1011 x 1811 = 45,410,004

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


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