Q: What are the factor combinations of the number 9,726,925?

 A:
Positive:   1 x 97269255 x 194538513 x 74822525 x 38907765 x 149645173 x 56225325 x 29929865 x 112452249 x 4325
Negative: -1 x -9726925-5 x -1945385-13 x -748225-25 x -389077-65 x -149645-173 x -56225-325 x -29929-865 x -11245-2249 x -4325


How do I find the factor combinations of the number 9,726,925?

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 9,726,925, 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 9,726,925
-1 -9,726,925

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 9,726,925.

Example:
1 x 9,726,925 = 9,726,925
and
-1 x -9,726,925 = 9,726,925
Notice both answers equal 9,726,925

With that explanation out of the way, let's continue. Next, we take the number 9,726,925 and divide it by 2:

9,726,925 ÷ 2 = 4,863,462.5

If the quotient is a whole number, then 2 and 4,863,462.5 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 9,726,925
-1 -9,726,925

Now, we try dividing 9,726,925 by 3:

9,726,925 ÷ 3 = 3,242,308.3333

If the quotient is a whole number, then 3 and 3,242,308.3333 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 9,726,925
-1 -9,726,925

Let's try dividing by 4:

9,726,925 ÷ 4 = 2,431,731.25

If the quotient is a whole number, then 4 and 2,431,731.25 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 9,726,925
-1 9,726,925
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651733258652,2494,32511,24529,92956,225149,645389,077748,2251,945,3859,726,925
-1-5-13-25-65-173-325-865-2,249-4,325-11,245-29,929-56,225-149,645-389,077-748,225-1,945,385-9,726,925

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