Q: What are the prime factors of the number 1,620,352?

 A: 2, 12659

Why are those the prime factors of the number 1,620,352?

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 1,620,352

1,620,352
Factor Arrows
2810,176
Factor Arrows
2405,088
Factor Arrows
2202,544
Factor Arrows
2101,272
Factor Arrows
250,636
Factor Arrows
225,318
Factor Arrows
212,659

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, 12659

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 12,659 = 1,620,352

This can also be written as 27 x 12,6591 = 1,620,352

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


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