Q: What are the factor combinations of the number 259,772,869?

 A:
Positive:   1 x 25977286917 x 1528075767 x 3877207131 x 19829991139 x 2280711741 x 1492092227 x 1166478777 x 29597
Negative: -1 x -259772869-17 x -15280757-67 x -3877207-131 x -1982999-1139 x -228071-1741 x -149209-2227 x -116647-8777 x -29597


How do I find the factor combinations of the number 259,772,869?

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 259,772,869, 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.

1 259,772,869
-1 -259,772,869

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 259,772,869.

Example:
1 x 259,772,869 = 259,772,869
and
-1 x -259,772,869 = 259,772,869
Notice both answers equal 259,772,869

With that explanation out of the way, let's continue. Next, we take the number 259,772,869 and divide it by 2:

259,772,869 ÷ 2 = 129,886,434.5

If the quotient is a whole number, then 2 and 129,886,434.5 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:

1 259,772,869
-1 -259,772,869

Now, we try dividing 259,772,869 by 3:

259,772,869 ÷ 3 = 86,590,956.3333

If the quotient is a whole number, then 3 and 86,590,956.3333 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:

1 259,772,869
-1 -259,772,869

Let's try dividing by 4:

259,772,869 ÷ 4 = 64,943,217.25

If the quotient is a whole number, then 4 and 64,943,217.25 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:

1 259,772,869
-1 259,772,869
Keep dividing by the next highest number until you cannot divide anymore.

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

117671311,1391,7412,2278,77729,597116,647149,209228,0711,982,9993,877,20715,280,757259,772,869
-1-17-67-131-1,139-1,741-2,227-8,777-29,597-116,647-149,209-228,071-1,982,999-3,877,207-15,280,757-259,772,869

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