Q: What are the prime factors of the number 272,868,416?

 A: 2, 4263569

Why are those the prime factors of the number 272,868,416?

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 272,868,416

272,868,416
Factor Arrows
2136,434,208
Factor Arrows
268,217,104
Factor Arrows
234,108,552
Factor Arrows
217,054,276
Factor Arrows
28,527,138
Factor Arrows
24,263,569

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, 4263569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 4,263,569 = 272,868,416

This can also be written as 26 x 4,263,5691 = 272,868,416

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


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