Q: What are the factor combinations of the number 264,556,325?

 A:
Positive:   1 x 2645563255 x 5291126511 x 2405057525 x 1058225331 x 853407555 x 4810115155 x 1706815275 x 962023341 x 775825775 x 3413631705 x 1551658525 x 31033
Negative: -1 x -264556325-5 x -52911265-11 x -24050575-25 x -10582253-31 x -8534075-55 x -4810115-155 x -1706815-275 x -962023-341 x -775825-775 x -341363-1705 x -155165-8525 x -31033


How do I find the factor combinations of the number 264,556,325?

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 264,556,325, 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.

1 264,556,325
-1 -264,556,325

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 264,556,325.

Example:
1 x 264,556,325 = 264,556,325
and
-1 x -264,556,325 = 264,556,325
Notice both answers equal 264,556,325

With that explanation out of the way, let's continue. Next, we take the number 264,556,325 and divide it by 2:

264,556,325 ÷ 2 = 132,278,162.5

If the quotient is a whole number, then 2 and 132,278,162.5 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:

1 264,556,325
-1 -264,556,325

Now, we try dividing 264,556,325 by 3:

264,556,325 ÷ 3 = 88,185,441.6667

If the quotient is a whole number, then 3 and 88,185,441.6667 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:

1 264,556,325
-1 -264,556,325

Let's try dividing by 4:

264,556,325 ÷ 4 = 66,139,081.25

If the quotient is a whole number, then 4 and 66,139,081.25 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:

1 264,556,325
-1 264,556,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551552753417751,7058,52531,033155,165341,363775,825962,0231,706,8154,810,1158,534,07510,582,25324,050,57552,911,265264,556,325
-1-5-11-25-31-55-155-275-341-775-1,705-8,525-31,033-155,165-341,363-775,825-962,023-1,706,815-4,810,115-8,534,075-10,582,253-24,050,575-52,911,265-264,556,325

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