Q: What are the prime factors of the number 1,870,304?

 A: 2, 211, 277

Why are those the prime factors of the number 1,870,304?

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 1,870,304

1,870,304
Factor Arrows
2935,152
Factor Arrows
2467,576
Factor Arrows
2233,788
Factor Arrows
2116,894
Factor Arrows
258,447
Factor Arrows
211277

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, 211, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 211 x 277 = 1,870,304

This can also be written as 25 x 2111 x 2771 = 1,870,304

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


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