Q: What are the factor combinations of the number 244,420,099?

 A:
Positive:   1 x 2444200997 x 3491715711 x 2222000977 x 3174287
Negative: -1 x -244420099-7 x -34917157-11 x -22220009-77 x -3174287


How do I find the factor combinations of the number 244,420,099?

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 244,420,099, 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.

1 244,420,099
-1 -244,420,099

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 244,420,099.

Example:
1 x 244,420,099 = 244,420,099
and
-1 x -244,420,099 = 244,420,099
Notice both answers equal 244,420,099

With that explanation out of the way, let's continue. Next, we take the number 244,420,099 and divide it by 2:

244,420,099 ÷ 2 = 122,210,049.5

If the quotient is a whole number, then 2 and 122,210,049.5 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:

1 244,420,099
-1 -244,420,099

Now, we try dividing 244,420,099 by 3:

244,420,099 ÷ 3 = 81,473,366.3333

If the quotient is a whole number, then 3 and 81,473,366.3333 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:

1 244,420,099
-1 -244,420,099

Let's try dividing by 4:

244,420,099 ÷ 4 = 61,105,024.75

If the quotient is a whole number, then 4 and 61,105,024.75 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:

1 244,420,099
-1 244,420,099
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773,174,28722,220,00934,917,157244,420,099
-1-7-11-77-3,174,287-22,220,009-34,917,157-244,420,099

More Examples

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