Q: What are the factor combinations of the number 222,330,299?

 A:
Positive:   1 x 22233029937 x 600892761 x 36447592257 x 98507
Negative: -1 x -222330299-37 x -6008927-61 x -3644759-2257 x -98507


How do I find the factor combinations of the number 222,330,299?

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 222,330,299, 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.

1 222,330,299
-1 -222,330,299

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 222,330,299.

Example:
1 x 222,330,299 = 222,330,299
and
-1 x -222,330,299 = 222,330,299
Notice both answers equal 222,330,299

With that explanation out of the way, let's continue. Next, we take the number 222,330,299 and divide it by 2:

222,330,299 ÷ 2 = 111,165,149.5

If the quotient is a whole number, then 2 and 111,165,149.5 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:

1 222,330,299
-1 -222,330,299

Now, we try dividing 222,330,299 by 3:

222,330,299 ÷ 3 = 74,110,099.6667

If the quotient is a whole number, then 3 and 74,110,099.6667 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:

1 222,330,299
-1 -222,330,299

Let's try dividing by 4:

222,330,299 ÷ 4 = 55,582,574.75

If the quotient is a whole number, then 4 and 55,582,574.75 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:

1 222,330,299
-1 222,330,299
Keep dividing by the next highest number until you cannot divide anymore.

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

137612,25798,5073,644,7596,008,927222,330,299
-1-37-61-2,257-98,507-3,644,759-6,008,927-222,330,299

More Examples

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