Q: What are the prime factors of the number 70,673,559?

 A: 3, 11, 19, 10247

Why are those the prime factors of the number 70,673,559?

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 70,673,559

70,673,559
Factor Arrows
323,557,853
Factor Arrows
112,141,623
Factor Arrows
11194,693
Factor Arrows
1910,247

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, 11, 19, 10247

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 19 x 10,247 = 70,673,559

This can also be written as 31 x 112 x 191 x 10,2471 = 70,673,559

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


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