Q: What are the prime factors of the number 70,576,222?

 A: 2, 19, 239, 409

Why are those the prime factors of the number 70,576,222?

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 70,576,222

70,576,222
Factor Arrows
235,288,111
Factor Arrows
191,857,269
Factor Arrows
1997,751
Factor Arrows
239409

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, 239, 409

We can check our work by multiplying all of the prime factors together: 2 x 19 x 19 x 239 x 409 = 70,576,222

This can also be written as 21 x 192 x 2391 x 4091 = 70,576,222

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


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