Q: What are the factor combinations of the number 12,370,925?

 A:
Positive:   1 x 123709255 x 24741857 x 176727525 x 49483735 x 353455175 x 70691223 x 55475317 x 390251115 x 110951561 x 79251585 x 78052219 x 5575
Negative: -1 x -12370925-5 x -2474185-7 x -1767275-25 x -494837-35 x -353455-175 x -70691-223 x -55475-317 x -39025-1115 x -11095-1561 x -7925-1585 x -7805-2219 x -5575


How do I find the factor combinations of the number 12,370,925?

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 12,370,925, 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 12,370,925
-1 -12,370,925

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 12,370,925.

Example:
1 x 12,370,925 = 12,370,925
and
-1 x -12,370,925 = 12,370,925
Notice both answers equal 12,370,925

With that explanation out of the way, let's continue. Next, we take the number 12,370,925 and divide it by 2:

12,370,925 ÷ 2 = 6,185,462.5

If the quotient is a whole number, then 2 and 6,185,462.5 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 12,370,925
-1 -12,370,925

Now, we try dividing 12,370,925 by 3:

12,370,925 ÷ 3 = 4,123,641.6667

If the quotient is a whole number, then 3 and 4,123,641.6667 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 12,370,925
-1 -12,370,925

Let's try dividing by 4:

12,370,925 ÷ 4 = 3,092,731.25

If the quotient is a whole number, then 4 and 3,092,731.25 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 12,370,925
-1 12,370,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752233171,1151,5611,5852,2195,5757,8057,92511,09539,02555,47570,691353,455494,8371,767,2752,474,18512,370,925
-1-5-7-25-35-175-223-317-1,115-1,561-1,585-2,219-5,575-7,805-7,925-11,095-39,025-55,475-70,691-353,455-494,837-1,767,275-2,474,185-12,370,925

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