Q: What are the factor combinations of the number 12,440,311?

 A:
Positive:   1 x 1244031113 x 95694717 x 731783181 x 68731221 x 56291311 x 400012353 x 52873077 x 4043
Negative: -1 x -12440311-13 x -956947-17 x -731783-181 x -68731-221 x -56291-311 x -40001-2353 x -5287-3077 x -4043


How do I find the factor combinations of the number 12,440,311?

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 12,440,311, 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 12,440,311
-1 -12,440,311

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 12,440,311.

Example:
1 x 12,440,311 = 12,440,311
and
-1 x -12,440,311 = 12,440,311
Notice both answers equal 12,440,311

With that explanation out of the way, let's continue. Next, we take the number 12,440,311 and divide it by 2:

12,440,311 ÷ 2 = 6,220,155.5

If the quotient is a whole number, then 2 and 6,220,155.5 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 12,440,311
-1 -12,440,311

Now, we try dividing 12,440,311 by 3:

12,440,311 ÷ 3 = 4,146,770.3333

If the quotient is a whole number, then 3 and 4,146,770.3333 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 12,440,311
-1 -12,440,311

Let's try dividing by 4:

12,440,311 ÷ 4 = 3,110,077.75

If the quotient is a whole number, then 4 and 3,110,077.75 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 12,440,311
-1 12,440,311
Keep dividing by the next highest number until you cannot divide anymore.

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

113171812213112,3533,0774,0435,28740,00156,29168,731731,783956,94712,440,311
-1-13-17-181-221-311-2,353-3,077-4,043-5,287-40,001-56,291-68,731-731,783-956,947-12,440,311

More Examples

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