Q: What are the factor combinations of the number 165,512,663?

 A:
Positive:   1 x 16551266317 x 973603979 x 2095097251 x 659413491 x 3370931343 x 1232414267 x 387898347 x 19829
Negative: -1 x -165512663-17 x -9736039-79 x -2095097-251 x -659413-491 x -337093-1343 x -123241-4267 x -38789-8347 x -19829


How do I find the factor combinations of the number 165,512,663?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 165,512,663, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 165,512,663
-1 -165,512,663

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 165,512,663.

Example:
1 x 165,512,663 = 165,512,663
and
-1 x -165,512,663 = 165,512,663
Notice both answers equal 165,512,663

With that explanation out of the way, let's continue. Next, we take the number 165,512,663 and divide it by 2:

165,512,663 ÷ 2 = 82,756,331.5

If the quotient is a whole number, then 2 and 82,756,331.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 165,512,663
-1 -165,512,663

Now, we try dividing 165,512,663 by 3:

165,512,663 ÷ 3 = 55,170,887.6667

If the quotient is a whole number, then 3 and 55,170,887.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 165,512,663
-1 -165,512,663

Let's try dividing by 4:

165,512,663 ÷ 4 = 41,378,165.75

If the quotient is a whole number, then 4 and 41,378,165.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 165,512,663
-1 165,512,663
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

117792514911,3434,2678,34719,82938,789123,241337,093659,4132,095,0979,736,039165,512,663
-1-17-79-251-491-1,343-4,267-8,347-19,829-38,789-123,241-337,093-659,413-2,095,097-9,736,039-165,512,663

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