Q: What are the factor combinations of the number 121,615,015?

 A:
Positive:   1 x 1216150155 x 2432300331 x 3923065155 x 784613389 x 3126351945 x 625272017 x 6029510085 x 12059
Negative: -1 x -121615015-5 x -24323003-31 x -3923065-155 x -784613-389 x -312635-1945 x -62527-2017 x -60295-10085 x -12059


How do I find the factor combinations of the number 121,615,015?

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 121,615,015, 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.

1 121,615,015
-1 -121,615,015

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 121,615,015.

Example:
1 x 121,615,015 = 121,615,015
and
-1 x -121,615,015 = 121,615,015
Notice both answers equal 121,615,015

With that explanation out of the way, let's continue. Next, we take the number 121,615,015 and divide it by 2:

121,615,015 ÷ 2 = 60,807,507.5

If the quotient is a whole number, then 2 and 60,807,507.5 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:

1 121,615,015
-1 -121,615,015

Now, we try dividing 121,615,015 by 3:

121,615,015 ÷ 3 = 40,538,338.3333

If the quotient is a whole number, then 3 and 40,538,338.3333 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:

1 121,615,015
-1 -121,615,015

Let's try dividing by 4:

121,615,015 ÷ 4 = 30,403,753.75

If the quotient is a whole number, then 4 and 30,403,753.75 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:

1 121,615,015
-1 121,615,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15311553891,9452,01710,08512,05960,29562,527312,635784,6133,923,06524,323,003121,615,015
-1-5-31-155-389-1,945-2,017-10,085-12,059-60,295-62,527-312,635-784,613-3,923,065-24,323,003-121,615,015

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