Q: What are the prime factors of the number 247,211,415?

 A: 3, 5, 11, 157, 3181

Why are those the prime factors of the number 247,211,415?

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 247,211,415

247,211,415
Factor Arrows
382,403,805
Factor Arrows
327,467,935
Factor Arrows
55,493,587
Factor Arrows
11499,417
Factor Arrows
1573,181

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, 5, 11, 157, 3181

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 157 x 3,181 = 247,211,415

This can also be written as 32 x 51 x 111 x 1571 x 3,1811 = 247,211,415

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


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