Q: What are the prime factors of the number 2,340,352?

 A: 2, 7, 653

Why are those the prime factors of the number 2,340,352?

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 2,340,352

2,340,352
Factor Arrows
21,170,176
Factor Arrows
2585,088
Factor Arrows
2292,544
Factor Arrows
2146,272
Factor Arrows
273,136
Factor Arrows
236,568
Factor Arrows
218,284
Factor Arrows
29,142
Factor Arrows
24,571
Factor Arrows
7653

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, 7, 653

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 2 x 2 x 2 x 7 x 653 = 2,340,352

This can also be written as 29 x 71 x 6531 = 2,340,352

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


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