Q: What are the factor combinations of the number 220,211,201?

 A:
Positive:   1 x 2202112017 x 3145874383 x 2653147269 x 818629581 x 3790211409 x 1562891883 x 1169479863 x 22327
Negative: -1 x -220211201-7 x -31458743-83 x -2653147-269 x -818629-581 x -379021-1409 x -156289-1883 x -116947-9863 x -22327


How do I find the factor combinations of the number 220,211,201?

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 220,211,201, 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.

1 220,211,201
-1 -220,211,201

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 220,211,201.

Example:
1 x 220,211,201 = 220,211,201
and
-1 x -220,211,201 = 220,211,201
Notice both answers equal 220,211,201

With that explanation out of the way, let's continue. Next, we take the number 220,211,201 and divide it by 2:

220,211,201 ÷ 2 = 110,105,600.5

If the quotient is a whole number, then 2 and 110,105,600.5 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:

1 220,211,201
-1 -220,211,201

Now, we try dividing 220,211,201 by 3:

220,211,201 ÷ 3 = 73,403,733.6667

If the quotient is a whole number, then 3 and 73,403,733.6667 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:

1 220,211,201
-1 -220,211,201

Let's try dividing by 4:

220,211,201 ÷ 4 = 55,052,800.25

If the quotient is a whole number, then 4 and 55,052,800.25 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:

1 220,211,201
-1 220,211,201
Keep dividing by the next highest number until you cannot divide anymore.

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

17832695811,4091,8839,86322,327116,947156,289379,021818,6292,653,14731,458,743220,211,201
-1-7-83-269-581-1,409-1,883-9,863-22,327-116,947-156,289-379,021-818,629-2,653,147-31,458,743-220,211,201

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