Q: What are the prime factors of the number 1,411,008?

 A: 2, 3, 7349

Why are those the prime factors of the number 1,411,008?

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 1,411,008

1,411,008
Factor Arrows
2705,504
Factor Arrows
2352,752
Factor Arrows
2176,376
Factor Arrows
288,188
Factor Arrows
244,094
Factor Arrows
222,047
Factor Arrows
37,349

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, 7349

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 3 x 7,349 = 1,411,008

This can also be written as 26 x 31 x 7,3491 = 1,411,008

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


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