Q: What are the factor combinations of the number 121,255,001?

 A:
Positive:   1 x 1212550017 x 17322143137 x 885073227 x 534163557 x 217693959 x 1264391589 x 763093899 x 31099
Negative: -1 x -121255001-7 x -17322143-137 x -885073-227 x -534163-557 x -217693-959 x -126439-1589 x -76309-3899 x -31099


How do I find the factor combinations of the number 121,255,001?

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 121,255,001, 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.

1 121,255,001
-1 -121,255,001

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 121,255,001.

Example:
1 x 121,255,001 = 121,255,001
and
-1 x -121,255,001 = 121,255,001
Notice both answers equal 121,255,001

With that explanation out of the way, let's continue. Next, we take the number 121,255,001 and divide it by 2:

121,255,001 ÷ 2 = 60,627,500.5

If the quotient is a whole number, then 2 and 60,627,500.5 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:

1 121,255,001
-1 -121,255,001

Now, we try dividing 121,255,001 by 3:

121,255,001 ÷ 3 = 40,418,333.6667

If the quotient is a whole number, then 3 and 40,418,333.6667 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:

1 121,255,001
-1 -121,255,001

Let's try dividing by 4:

121,255,001 ÷ 4 = 30,313,750.25

If the quotient is a whole number, then 4 and 30,313,750.25 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:

1 121,255,001
-1 121,255,001
Keep dividing by the next highest number until you cannot divide anymore.

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

171372275579591,5893,89931,09976,309126,439217,693534,163885,07317,322,143121,255,001
-1-7-137-227-557-959-1,589-3,899-31,099-76,309-126,439-217,693-534,163-885,073-17,322,143-121,255,001

More Examples

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