Q: What are the factor combinations of the number 12,750,493?

 A:
Positive:   1 x 127504937 x 182149917 x 750029109 x 116977119 x 107147763 x 16711983 x 129711853 x 6881
Negative: -1 x -12750493-7 x -1821499-17 x -750029-109 x -116977-119 x -107147-763 x -16711-983 x -12971-1853 x -6881


How do I find the factor combinations of the number 12,750,493?

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 12,750,493, 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 12,750,493
-1 -12,750,493

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 12,750,493.

Example:
1 x 12,750,493 = 12,750,493
and
-1 x -12,750,493 = 12,750,493
Notice both answers equal 12,750,493

With that explanation out of the way, let's continue. Next, we take the number 12,750,493 and divide it by 2:

12,750,493 ÷ 2 = 6,375,246.5

If the quotient is a whole number, then 2 and 6,375,246.5 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 12,750,493
-1 -12,750,493

Now, we try dividing 12,750,493 by 3:

12,750,493 ÷ 3 = 4,250,164.3333

If the quotient is a whole number, then 3 and 4,250,164.3333 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 12,750,493
-1 -12,750,493

Let's try dividing by 4:

12,750,493 ÷ 4 = 3,187,623.25

If the quotient is a whole number, then 4 and 3,187,623.25 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 12,750,493
-1 12,750,493
Keep dividing by the next highest number until you cannot divide anymore.

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

17171091197639831,8536,88112,97116,711107,147116,977750,0291,821,49912,750,493
-1-7-17-109-119-763-983-1,853-6,881-12,971-16,711-107,147-116,977-750,029-1,821,499-12,750,493

More Examples

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