Q: What are the factor combinations of the number 121,000,759?

 A:
Positive:   1 x 12100075911 x 1100006919 x 636846161 x 1983619209 x 578951671 x 1803291159 x 1044019491 x 12749
Negative: -1 x -121000759-11 x -11000069-19 x -6368461-61 x -1983619-209 x -578951-671 x -180329-1159 x -104401-9491 x -12749


How do I find the factor combinations of the number 121,000,759?

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 121,000,759, 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.

1 121,000,759
-1 -121,000,759

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 121,000,759.

Example:
1 x 121,000,759 = 121,000,759
and
-1 x -121,000,759 = 121,000,759
Notice both answers equal 121,000,759

With that explanation out of the way, let's continue. Next, we take the number 121,000,759 and divide it by 2:

121,000,759 ÷ 2 = 60,500,379.5

If the quotient is a whole number, then 2 and 60,500,379.5 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:

1 121,000,759
-1 -121,000,759

Now, we try dividing 121,000,759 by 3:

121,000,759 ÷ 3 = 40,333,586.3333

If the quotient is a whole number, then 3 and 40,333,586.3333 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:

1 121,000,759
-1 -121,000,759

Let's try dividing by 4:

121,000,759 ÷ 4 = 30,250,189.75

If the quotient is a whole number, then 4 and 30,250,189.75 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:

1 121,000,759
-1 121,000,759
Keep dividing by the next highest number until you cannot divide anymore.

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

11119612096711,1599,49112,749104,401180,329578,9511,983,6196,368,46111,000,069121,000,759
-1-11-19-61-209-671-1,159-9,491-12,749-104,401-180,329-578,951-1,983,619-6,368,461-11,000,069-121,000,759

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