Q: What are the prime factors of the number 70,700,418?

 A: 2, 3, 79, 16573

Why are those the prime factors of the number 70,700,418?

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 70,700,418

70,700,418
Factor Arrows
235,350,209
Factor Arrows
311,783,403
Factor Arrows
33,927,801
Factor Arrows
31,309,267
Factor Arrows
7916,573

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, 79, 16573

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 79 x 16,573 = 70,700,418

This can also be written as 21 x 33 x 791 x 16,5731 = 70,700,418

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


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