Q: What are the factor combinations of the number 121,764,629?

 A:
Positive:   1 x 1217646297 x 1739494741 x 2969869287 x 424267
Negative: -1 x -121764629-7 x -17394947-41 x -2969869-287 x -424267


How do I find the factor combinations of the number 121,764,629?

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 121,764,629, 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.

1 121,764,629
-1 -121,764,629

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 121,764,629.

Example:
1 x 121,764,629 = 121,764,629
and
-1 x -121,764,629 = 121,764,629
Notice both answers equal 121,764,629

With that explanation out of the way, let's continue. Next, we take the number 121,764,629 and divide it by 2:

121,764,629 ÷ 2 = 60,882,314.5

If the quotient is a whole number, then 2 and 60,882,314.5 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:

1 121,764,629
-1 -121,764,629

Now, we try dividing 121,764,629 by 3:

121,764,629 ÷ 3 = 40,588,209.6667

If the quotient is a whole number, then 3 and 40,588,209.6667 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:

1 121,764,629
-1 -121,764,629

Let's try dividing by 4:

121,764,629 ÷ 4 = 30,441,157.25

If the quotient is a whole number, then 4 and 30,441,157.25 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:

1 121,764,629
-1 121,764,629
Keep dividing by the next highest number until you cannot divide anymore.

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

1741287424,2672,969,86917,394,947121,764,629
-1-7-41-287-424,267-2,969,869-17,394,947-121,764,629

More Examples

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