Q: What are the factor combinations of the number 11,737,925?

 A:
Positive:   1 x 117379255 x 234758525 x 46951743 x 27297561 x 192425179 x 65575215 x 54595305 x 38485895 x 131151075 x 109191525 x 76972623 x 4475
Negative: -1 x -11737925-5 x -2347585-25 x -469517-43 x -272975-61 x -192425-179 x -65575-215 x -54595-305 x -38485-895 x -13115-1075 x -10919-1525 x -7697-2623 x -4475


How do I find the factor combinations of the number 11,737,925?

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 11,737,925, 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 11,737,925
-1 -11,737,925

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 11,737,925.

Example:
1 x 11,737,925 = 11,737,925
and
-1 x -11,737,925 = 11,737,925
Notice both answers equal 11,737,925

With that explanation out of the way, let's continue. Next, we take the number 11,737,925 and divide it by 2:

11,737,925 ÷ 2 = 5,868,962.5

If the quotient is a whole number, then 2 and 5,868,962.5 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 11,737,925
-1 -11,737,925

Now, we try dividing 11,737,925 by 3:

11,737,925 ÷ 3 = 3,912,641.6667

If the quotient is a whole number, then 3 and 3,912,641.6667 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 11,737,925
-1 -11,737,925

Let's try dividing by 4:

11,737,925 ÷ 4 = 2,934,481.25

If the quotient is a whole number, then 4 and 2,934,481.25 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 11,737,925
-1 11,737,925
Keep dividing by the next highest number until you cannot divide anymore.

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

152543611792153058951,0751,5252,6234,4757,69710,91913,11538,48554,59565,575192,425272,975469,5172,347,58511,737,925
-1-5-25-43-61-179-215-305-895-1,075-1,525-2,623-4,475-7,697-10,919-13,115-38,485-54,595-65,575-192,425-272,975-469,517-2,347,585-11,737,925

More Examples

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