Q: What are the prime factors of the number 70,025,112?

 A: 2, 3, 47, 20693

Why are those the prime factors of the number 70,025,112?

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 70,025,112

70,025,112
Factor Arrows
235,012,556
Factor Arrows
217,506,278
Factor Arrows
28,753,139
Factor Arrows
32,917,713
Factor Arrows
3972,571
Factor Arrows
4720,693

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, 47, 20693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 47 x 20,693 = 70,025,112

This can also be written as 23 x 32 x 471 x 20,6931 = 70,025,112

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


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