Q: What are the factor combinations of the number 121,024,765?

 A:
Positive:   1 x 1210247655 x 2420495347 x 2574995101 x 1198265235 x 514999505 x 2396534747 x 254955099 x 23735
Negative: -1 x -121024765-5 x -24204953-47 x -2574995-101 x -1198265-235 x -514999-505 x -239653-4747 x -25495-5099 x -23735


How do I find the factor combinations of the number 121,024,765?

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 121,024,765, 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.

1 121,024,765
-1 -121,024,765

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 121,024,765.

Example:
1 x 121,024,765 = 121,024,765
and
-1 x -121,024,765 = 121,024,765
Notice both answers equal 121,024,765

With that explanation out of the way, let's continue. Next, we take the number 121,024,765 and divide it by 2:

121,024,765 ÷ 2 = 60,512,382.5

If the quotient is a whole number, then 2 and 60,512,382.5 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:

1 121,024,765
-1 -121,024,765

Now, we try dividing 121,024,765 by 3:

121,024,765 ÷ 3 = 40,341,588.3333

If the quotient is a whole number, then 3 and 40,341,588.3333 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:

1 121,024,765
-1 -121,024,765

Let's try dividing by 4:

121,024,765 ÷ 4 = 30,256,191.25

If the quotient is a whole number, then 4 and 30,256,191.25 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:

1 121,024,765
-1 121,024,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15471012355054,7475,09923,73525,495239,653514,9991,198,2652,574,99524,204,953121,024,765
-1-5-47-101-235-505-4,747-5,099-23,735-25,495-239,653-514,999-1,198,265-2,574,995-24,204,953-121,024,765

More Examples

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