Q: What are the factor combinations of the number 15,556,325?

 A:
Positive:   1 x 155563255 x 311126525 x 62225329 x 53642543 x 361775145 x 107285215 x 72355499 x 31175725 x 214571075 x 144711247 x 124752495 x 6235
Negative: -1 x -15556325-5 x -3111265-25 x -622253-29 x -536425-43 x -361775-145 x -107285-215 x -72355-499 x -31175-725 x -21457-1075 x -14471-1247 x -12475-2495 x -6235


How do I find the factor combinations of the number 15,556,325?

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 15,556,325, 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 15,556,325
-1 -15,556,325

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 15,556,325.

Example:
1 x 15,556,325 = 15,556,325
and
-1 x -15,556,325 = 15,556,325
Notice both answers equal 15,556,325

With that explanation out of the way, let's continue. Next, we take the number 15,556,325 and divide it by 2:

15,556,325 ÷ 2 = 7,778,162.5

If the quotient is a whole number, then 2 and 7,778,162.5 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 15,556,325
-1 -15,556,325

Now, we try dividing 15,556,325 by 3:

15,556,325 ÷ 3 = 5,185,441.6667

If the quotient is a whole number, then 3 and 5,185,441.6667 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 15,556,325
-1 -15,556,325

Let's try dividing by 4:

15,556,325 ÷ 4 = 3,889,081.25

If the quotient is a whole number, then 4 and 3,889,081.25 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 15,556,325
-1 15,556,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152529431452154997251,0751,2472,4956,23512,47514,47121,45731,17572,355107,285361,775536,425622,2533,111,26515,556,325
-1-5-25-29-43-145-215-499-725-1,075-1,247-2,495-6,235-12,475-14,471-21,457-31,175-72,355-107,285-361,775-536,425-622,253-3,111,265-15,556,325

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