Q: What are the factor combinations of the number 121,155,037?

 A:
Positive:   1 x 12115503731 x 390822743 x 281755997 x 1249021937 x 1293011333 x 908893007 x 402914171 x 29047
Negative: -1 x -121155037-31 x -3908227-43 x -2817559-97 x -1249021-937 x -129301-1333 x -90889-3007 x -40291-4171 x -29047


How do I find the factor combinations of the number 121,155,037?

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 121,155,037, 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.

1 121,155,037
-1 -121,155,037

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 121,155,037.

Example:
1 x 121,155,037 = 121,155,037
and
-1 x -121,155,037 = 121,155,037
Notice both answers equal 121,155,037

With that explanation out of the way, let's continue. Next, we take the number 121,155,037 and divide it by 2:

121,155,037 ÷ 2 = 60,577,518.5

If the quotient is a whole number, then 2 and 60,577,518.5 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:

1 121,155,037
-1 -121,155,037

Now, we try dividing 121,155,037 by 3:

121,155,037 ÷ 3 = 40,385,012.3333

If the quotient is a whole number, then 3 and 40,385,012.3333 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:

1 121,155,037
-1 -121,155,037

Let's try dividing by 4:

121,155,037 ÷ 4 = 30,288,759.25

If the quotient is a whole number, then 4 and 30,288,759.25 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:

1 121,155,037
-1 121,155,037
Keep dividing by the next highest number until you cannot divide anymore.

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

13143979371,3333,0074,17129,04740,29190,889129,3011,249,0212,817,5593,908,227121,155,037
-1-31-43-97-937-1,333-3,007-4,171-29,047-40,291-90,889-129,301-1,249,021-2,817,559-3,908,227-121,155,037

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