Q: What are the prime factors of the number 1,784,376?

 A: 2, 3, 11, 751

Why are those the prime factors of the number 1,784,376?

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 1,784,376

1,784,376
Factor Arrows
2892,188
Factor Arrows
2446,094
Factor Arrows
2223,047
Factor Arrows
374,349
Factor Arrows
324,783
Factor Arrows
38,261
Factor Arrows
11751

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, 11, 751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 11 x 751 = 1,784,376

This can also be written as 23 x 33 x 111 x 7511 = 1,784,376

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


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