Q: What are the factor combinations of the number 222,162,499?

 A:
Positive:   1 x 22216249913 x 17089423169 x 1314571
Negative: -1 x -222162499-13 x -17089423-169 x -1314571


How do I find the factor combinations of the number 222,162,499?

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 222,162,499, 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.

1 222,162,499
-1 -222,162,499

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 222,162,499.

Example:
1 x 222,162,499 = 222,162,499
and
-1 x -222,162,499 = 222,162,499
Notice both answers equal 222,162,499

With that explanation out of the way, let's continue. Next, we take the number 222,162,499 and divide it by 2:

222,162,499 ÷ 2 = 111,081,249.5

If the quotient is a whole number, then 2 and 111,081,249.5 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:

1 222,162,499
-1 -222,162,499

Now, we try dividing 222,162,499 by 3:

222,162,499 ÷ 3 = 74,054,166.3333

If the quotient is a whole number, then 3 and 74,054,166.3333 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:

1 222,162,499
-1 -222,162,499

Let's try dividing by 4:

222,162,499 ÷ 4 = 55,540,624.75

If the quotient is a whole number, then 4 and 55,540,624.75 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:

1 222,162,499
-1 222,162,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1131691,314,57117,089,423222,162,499
-1-13-169-1,314,571-17,089,423-222,162,499

More Examples

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