Question

In how many ways can you write the number 210 as a product of three integers

Answer 1

Here is your answer buddy,

There are a total of 14 ways to express 210 as the product of 3 positive integers.

All possible ways:

1) 1×1×2101×1×210

2) 1×2×1051×2×105

3) 1×3×701×3×70

4) 1×5×421×5×42

5) 1×6×351×6×35

6) 1×7×301×7×30

7) 1×10×211×10×21

8) 1×14×151×14×15

9) 2×3×352×3×35

10) 2×5×212×5×21

11) 2×7×152×7×15

12) 3×5×143×5×14

13) 3×7×103×7×10

14) 5×6×75×6×7

If you wanted the count including negative integers as well, then there will be 55 possibilities. It's quite arduous to write down all of them though.


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