Q: What are the factor combinations of the number 121,045,607?

 A:
Positive:   1 x 12104560731 x 390469773 x 165815989 x 1360063601 x 2014072263 x 534892759 x 438736497 x 18631
Negative: -1 x -121045607-31 x -3904697-73 x -1658159-89 x -1360063-601 x -201407-2263 x -53489-2759 x -43873-6497 x -18631


How do I find the factor combinations of the number 121,045,607?

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 121,045,607, 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.

1 121,045,607
-1 -121,045,607

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 121,045,607.

Example:
1 x 121,045,607 = 121,045,607
and
-1 x -121,045,607 = 121,045,607
Notice both answers equal 121,045,607

With that explanation out of the way, let's continue. Next, we take the number 121,045,607 and divide it by 2:

121,045,607 ÷ 2 = 60,522,803.5

If the quotient is a whole number, then 2 and 60,522,803.5 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:

1 121,045,607
-1 -121,045,607

Now, we try dividing 121,045,607 by 3:

121,045,607 ÷ 3 = 40,348,535.6667

If the quotient is a whole number, then 3 and 40,348,535.6667 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:

1 121,045,607
-1 -121,045,607

Let's try dividing by 4:

121,045,607 ÷ 4 = 30,261,401.75

If the quotient is a whole number, then 4 and 30,261,401.75 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:

1 121,045,607
-1 121,045,607
Keep dividing by the next highest number until you cannot divide anymore.

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

13173896012,2632,7596,49718,63143,87353,489201,4071,360,0631,658,1593,904,697121,045,607
-1-31-73-89-601-2,263-2,759-6,497-18,631-43,873-53,489-201,407-1,360,063-1,658,159-3,904,697-121,045,607

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