Q: What are the factor combinations of the number 121,021,045?

 A:
Positive:   1 x 1210210455 x 2420420917 x 711888585 x 1423777139 x 870655695 x 1741312363 x 5121510243 x 11815
Negative: -1 x -121021045-5 x -24204209-17 x -7118885-85 x -1423777-139 x -870655-695 x -174131-2363 x -51215-10243 x -11815


How do I find the factor combinations of the number 121,021,045?

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 121,021,045, 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.

1 121,021,045
-1 -121,021,045

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 121,021,045.

Example:
1 x 121,021,045 = 121,021,045
and
-1 x -121,021,045 = 121,021,045
Notice both answers equal 121,021,045

With that explanation out of the way, let's continue. Next, we take the number 121,021,045 and divide it by 2:

121,021,045 ÷ 2 = 60,510,522.5

If the quotient is a whole number, then 2 and 60,510,522.5 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:

1 121,021,045
-1 -121,021,045

Now, we try dividing 121,021,045 by 3:

121,021,045 ÷ 3 = 40,340,348.3333

If the quotient is a whole number, then 3 and 40,340,348.3333 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:

1 121,021,045
-1 -121,021,045

Let's try dividing by 4:

121,021,045 ÷ 4 = 30,255,261.25

If the quotient is a whole number, then 4 and 30,255,261.25 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:

1 121,021,045
-1 121,021,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851396952,36310,24311,81551,215174,131870,6551,423,7777,118,88524,204,209121,021,045
-1-5-17-85-139-695-2,363-10,243-11,815-51,215-174,131-870,655-1,423,777-7,118,885-24,204,209-121,021,045

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