Q: What are the factor combinations of the number 220,211,197?

 A:
Positive:   1 x 22021119719 x 1159006331 x 7103587137 x 1607381589 x 3738732603 x 845992729 x 806934247 x 51851
Negative: -1 x -220211197-19 x -11590063-31 x -7103587-137 x -1607381-589 x -373873-2603 x -84599-2729 x -80693-4247 x -51851


How do I find the factor combinations of the number 220,211,197?

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 220,211,197, 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.

1 220,211,197
-1 -220,211,197

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 220,211,197.

Example:
1 x 220,211,197 = 220,211,197
and
-1 x -220,211,197 = 220,211,197
Notice both answers equal 220,211,197

With that explanation out of the way, let's continue. Next, we take the number 220,211,197 and divide it by 2:

220,211,197 ÷ 2 = 110,105,598.5

If the quotient is a whole number, then 2 and 110,105,598.5 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:

1 220,211,197
-1 -220,211,197

Now, we try dividing 220,211,197 by 3:

220,211,197 ÷ 3 = 73,403,732.3333

If the quotient is a whole number, then 3 and 73,403,732.3333 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:

1 220,211,197
-1 -220,211,197

Let's try dividing by 4:

220,211,197 ÷ 4 = 55,052,799.25

If the quotient is a whole number, then 4 and 55,052,799.25 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:

1 220,211,197
-1 220,211,197
Keep dividing by the next highest number until you cannot divide anymore.

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

119311375892,6032,7294,24751,85180,69384,599373,8731,607,3817,103,58711,590,063220,211,197
-1-19-31-137-589-2,603-2,729-4,247-51,851-80,693-84,599-373,873-1,607,381-7,103,587-11,590,063-220,211,197

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