Q: What are the factor combinations of the number 121,563,607?

 A:
Positive:   1 x 12156360711 x 11051237151 x 805057163 x 745789449 x 2707431661 x 731871793 x 677994939 x 24613
Negative: -1 x -121563607-11 x -11051237-151 x -805057-163 x -745789-449 x -270743-1661 x -73187-1793 x -67799-4939 x -24613


How do I find the factor combinations of the number 121,563,607?

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 121,563,607, 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.

1 121,563,607
-1 -121,563,607

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 121,563,607.

Example:
1 x 121,563,607 = 121,563,607
and
-1 x -121,563,607 = 121,563,607
Notice both answers equal 121,563,607

With that explanation out of the way, let's continue. Next, we take the number 121,563,607 and divide it by 2:

121,563,607 ÷ 2 = 60,781,803.5

If the quotient is a whole number, then 2 and 60,781,803.5 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:

1 121,563,607
-1 -121,563,607

Now, we try dividing 121,563,607 by 3:

121,563,607 ÷ 3 = 40,521,202.3333

If the quotient is a whole number, then 3 and 40,521,202.3333 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:

1 121,563,607
-1 -121,563,607

Let's try dividing by 4:

121,563,607 ÷ 4 = 30,390,901.75

If the quotient is a whole number, then 4 and 30,390,901.75 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:

1 121,563,607
-1 121,563,607
Keep dividing by the next highest number until you cannot divide anymore.

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

1111511634491,6611,7934,93924,61367,79973,187270,743745,789805,05711,051,237121,563,607
-1-11-151-163-449-1,661-1,793-4,939-24,613-67,799-73,187-270,743-745,789-805,057-11,051,237-121,563,607

More Examples

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