Q: What are the factor combinations of the number 222,245,231?

 A:
Positive:   1 x 22224523113 x 1709578731 x 716920167 x 3317093403 x 551477871 x 2551612077 x 1070038231 x 27001
Negative: -1 x -222245231-13 x -17095787-31 x -7169201-67 x -3317093-403 x -551477-871 x -255161-2077 x -107003-8231 x -27001


How do I find the factor combinations of the number 222,245,231?

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 222,245,231, 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.

1 222,245,231
-1 -222,245,231

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 222,245,231.

Example:
1 x 222,245,231 = 222,245,231
and
-1 x -222,245,231 = 222,245,231
Notice both answers equal 222,245,231

With that explanation out of the way, let's continue. Next, we take the number 222,245,231 and divide it by 2:

222,245,231 ÷ 2 = 111,122,615.5

If the quotient is a whole number, then 2 and 111,122,615.5 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:

1 222,245,231
-1 -222,245,231

Now, we try dividing 222,245,231 by 3:

222,245,231 ÷ 3 = 74,081,743.6667

If the quotient is a whole number, then 3 and 74,081,743.6667 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:

1 222,245,231
-1 -222,245,231

Let's try dividing by 4:

222,245,231 ÷ 4 = 55,561,307.75

If the quotient is a whole number, then 4 and 55,561,307.75 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:

1 222,245,231
-1 222,245,231
Keep dividing by the next highest number until you cannot divide anymore.

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

11331674038712,0778,23127,001107,003255,161551,4773,317,0937,169,20117,095,787222,245,231
-1-13-31-67-403-871-2,077-8,231-27,001-107,003-255,161-551,477-3,317,093-7,169,201-17,095,787-222,245,231

More Examples

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