Q: What are the factor combinations of the number 121,520,063?

 A:
Positive:   1 x 1215200637 x 1736000917 x 714823923 x 528348129 x 4190347119 x 1021177161 x 754783203 x 598621391 x 310793493 x 246491667 x 1821891531 x 793732737 x 443993451 x 352134669 x 2602710717 x 11339
Negative: -1 x -121520063-7 x -17360009-17 x -7148239-23 x -5283481-29 x -4190347-119 x -1021177-161 x -754783-203 x -598621-391 x -310793-493 x -246491-667 x -182189-1531 x -79373-2737 x -44399-3451 x -35213-4669 x -26027-10717 x -11339


How do I find the factor combinations of the number 121,520,063?

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 121,520,063, 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.

1 121,520,063
-1 -121,520,063

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 121,520,063.

Example:
1 x 121,520,063 = 121,520,063
and
-1 x -121,520,063 = 121,520,063
Notice both answers equal 121,520,063

With that explanation out of the way, let's continue. Next, we take the number 121,520,063 and divide it by 2:

121,520,063 ÷ 2 = 60,760,031.5

If the quotient is a whole number, then 2 and 60,760,031.5 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:

1 121,520,063
-1 -121,520,063

Now, we try dividing 121,520,063 by 3:

121,520,063 ÷ 3 = 40,506,687.6667

If the quotient is a whole number, then 3 and 40,506,687.6667 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:

1 121,520,063
-1 -121,520,063

Let's try dividing by 4:

121,520,063 ÷ 4 = 30,380,015.75

If the quotient is a whole number, then 4 and 30,380,015.75 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:

1 121,520,063
-1 121,520,063
Keep dividing by the next highest number until you cannot divide anymore.

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

171723291191612033914936671,5312,7373,4514,66910,71711,33926,02735,21344,39979,373182,189246,491310,793598,621754,7831,021,1774,190,3475,283,4817,148,23917,360,009121,520,063
-1-7-17-23-29-119-161-203-391-493-667-1,531-2,737-3,451-4,669-10,717-11,339-26,027-35,213-44,399-79,373-182,189-246,491-310,793-598,621-754,783-1,021,177-4,190,347-5,283,481-7,148,239-17,360,009-121,520,063

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