Q: What are the factor combinations of the number 222,564,499?

 A:
Positive:   1 x 22256449919 x 117139211277 x 1742879173 x 24263
Negative: -1 x -222564499-19 x -11713921-1277 x -174287-9173 x -24263


How do I find the factor combinations of the number 222,564,499?

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 222,564,499, 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.

1 222,564,499
-1 -222,564,499

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 222,564,499.

Example:
1 x 222,564,499 = 222,564,499
and
-1 x -222,564,499 = 222,564,499
Notice both answers equal 222,564,499

With that explanation out of the way, let's continue. Next, we take the number 222,564,499 and divide it by 2:

222,564,499 ÷ 2 = 111,282,249.5

If the quotient is a whole number, then 2 and 111,282,249.5 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:

1 222,564,499
-1 -222,564,499

Now, we try dividing 222,564,499 by 3:

222,564,499 ÷ 3 = 74,188,166.3333

If the quotient is a whole number, then 3 and 74,188,166.3333 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:

1 222,564,499
-1 -222,564,499

Let's try dividing by 4:

222,564,499 ÷ 4 = 55,641,124.75

If the quotient is a whole number, then 4 and 55,641,124.75 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:

1 222,564,499
-1 222,564,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,2779,17324,263174,28711,713,921222,564,499
-1-19-1,277-9,173-24,263-174,287-11,713,921-222,564,499

More Examples

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