Q: What are the prime factors of the number 1,234,664?

 A: 2, 154333

Why are those the prime factors of the number 1,234,664?

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 1,234,664

1,234,664
Factor Arrows
2617,332
Factor Arrows
2308,666
Factor Arrows
2154,333

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, 154333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 154,333 = 1,234,664

This can also be written as 23 x 154,3331 = 1,234,664

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


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