Q: What are the factor combinations of the number 162,020,663?

 A:
Positive:   1 x 1620206637 x 2314580931 x 5226473149 x 1087387217 x 7466391043 x 1553414619 x 350775011 x 32333
Negative: -1 x -162020663-7 x -23145809-31 x -5226473-149 x -1087387-217 x -746639-1043 x -155341-4619 x -35077-5011 x -32333


How do I find the factor combinations of the number 162,020,663?

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 162,020,663, 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.

1 162,020,663
-1 -162,020,663

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 162,020,663.

Example:
1 x 162,020,663 = 162,020,663
and
-1 x -162,020,663 = 162,020,663
Notice both answers equal 162,020,663

With that explanation out of the way, let's continue. Next, we take the number 162,020,663 and divide it by 2:

162,020,663 ÷ 2 = 81,010,331.5

If the quotient is a whole number, then 2 and 81,010,331.5 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:

1 162,020,663
-1 -162,020,663

Now, we try dividing 162,020,663 by 3:

162,020,663 ÷ 3 = 54,006,887.6667

If the quotient is a whole number, then 3 and 54,006,887.6667 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:

1 162,020,663
-1 -162,020,663

Let's try dividing by 4:

162,020,663 ÷ 4 = 40,505,165.75

If the quotient is a whole number, then 4 and 40,505,165.75 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:

1 162,020,663
-1 162,020,663
Keep dividing by the next highest number until you cannot divide anymore.

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

17311492171,0434,6195,01132,33335,077155,341746,6391,087,3875,226,47323,145,809162,020,663
-1-7-31-149-217-1,043-4,619-5,011-32,333-35,077-155,341-746,639-1,087,387-5,226,473-23,145,809-162,020,663

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