Q: What are the prime factors of the number 8,357,418?

 A: 2, 3, 23, 2243

Why are those the prime factors of the number 8,357,418?

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 8,357,418

8,357,418
Factor Arrows
24,178,709
Factor Arrows
31,392,903
Factor Arrows
3464,301
Factor Arrows
3154,767
Factor Arrows
351,589
Factor Arrows
232,243

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, 23, 2243

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 23 x 2,243 = 8,357,418

This can also be written as 21 x 34 x 231 x 2,2431 = 8,357,418

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


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