Q: What are the prime factors of the number 18,070,064?

 A: 2, 19, 59441

Why are those the prime factors of the number 18,070,064?

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 18,070,064

18,070,064
Factor Arrows
29,035,032
Factor Arrows
24,517,516
Factor Arrows
22,258,758
Factor Arrows
21,129,379
Factor Arrows
1959,441

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, 19, 59441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 59,441 = 18,070,064

This can also be written as 24 x 191 x 59,4411 = 18,070,064

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


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