Q: What are the factor combinations of the number 12,991,475?

 A:
Positive:   1 x 129914755 x 25982957 x 185592525 x 51965935 x 37118561 x 212975175 x 74237305 x 42595427 x 304251217 x 106751525 x 85192135 x 6085
Negative: -1 x -12991475-5 x -2598295-7 x -1855925-25 x -519659-35 x -371185-61 x -212975-175 x -74237-305 x -42595-427 x -30425-1217 x -10675-1525 x -8519-2135 x -6085


How do I find the factor combinations of the number 12,991,475?

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 12,991,475, 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 12,991,475
-1 -12,991,475

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 12,991,475.

Example:
1 x 12,991,475 = 12,991,475
and
-1 x -12,991,475 = 12,991,475
Notice both answers equal 12,991,475

With that explanation out of the way, let's continue. Next, we take the number 12,991,475 and divide it by 2:

12,991,475 ÷ 2 = 6,495,737.5

If the quotient is a whole number, then 2 and 6,495,737.5 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 12,991,475
-1 -12,991,475

Now, we try dividing 12,991,475 by 3:

12,991,475 ÷ 3 = 4,330,491.6667

If the quotient is a whole number, then 3 and 4,330,491.6667 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 12,991,475
-1 -12,991,475

Let's try dividing by 4:

12,991,475 ÷ 4 = 3,247,868.75

If the quotient is a whole number, then 4 and 3,247,868.75 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 12,991,475
-1 12,991,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535611753054271,2171,5252,1356,0858,51910,67530,42542,59574,237212,975371,185519,6591,855,9252,598,29512,991,475
-1-5-7-25-35-61-175-305-427-1,217-1,525-2,135-6,085-8,519-10,675-30,425-42,595-74,237-212,975-371,185-519,659-1,855,925-2,598,295-12,991,475

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