Q: What are the prime factors of the number 70,480,718?

 A: 2, 7, 11, 65381

Why are those the prime factors of the number 70,480,718?

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 70,480,718

70,480,718
Factor Arrows
235,240,359
Factor Arrows
75,034,337
Factor Arrows
7719,191
Factor Arrows
1165,381

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, 7, 11, 65381

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 11 x 65,381 = 70,480,718

This can also be written as 21 x 72 x 111 x 65,3811 = 70,480,718

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


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