Q: What are the factor combinations of the number 15,550,375?

 A:
Positive:   1 x 155503755 x 311007525 x 62201531 x 501625125 x 124403155 x 100325775 x 200653875 x 4013
Negative: -1 x -15550375-5 x -3110075-25 x -622015-31 x -501625-125 x -124403-155 x -100325-775 x -20065-3875 x -4013


How do I find the factor combinations of the number 15,550,375?

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 15,550,375, 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 15,550,375
-1 -15,550,375

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 15,550,375.

Example:
1 x 15,550,375 = 15,550,375
and
-1 x -15,550,375 = 15,550,375
Notice both answers equal 15,550,375

With that explanation out of the way, let's continue. Next, we take the number 15,550,375 and divide it by 2:

15,550,375 ÷ 2 = 7,775,187.5

If the quotient is a whole number, then 2 and 7,775,187.5 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 15,550,375
-1 -15,550,375

Now, we try dividing 15,550,375 by 3:

15,550,375 ÷ 3 = 5,183,458.3333

If the quotient is a whole number, then 3 and 5,183,458.3333 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 15,550,375
-1 -15,550,375

Let's try dividing by 4:

15,550,375 ÷ 4 = 3,887,593.75

If the quotient is a whole number, then 4 and 3,887,593.75 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 15,550,375
-1 15,550,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557753,8754,01320,065100,325124,403501,625622,0153,110,07515,550,375
-1-5-25-31-125-155-775-3,875-4,013-20,065-100,325-124,403-501,625-622,015-3,110,075-15,550,375

More Examples

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