Q: What are the factor combinations of the number 11,011,231?

 A:
Positive:   1 x 110112317 x 157303311 x 100102131 x 35520149 x 22471977 x 143003217 x 50743341 x 32291539 x 20429659 x 167091519 x 72492387 x 4613
Negative: -1 x -11011231-7 x -1573033-11 x -1001021-31 x -355201-49 x -224719-77 x -143003-217 x -50743-341 x -32291-539 x -20429-659 x -16709-1519 x -7249-2387 x -4613


How do I find the factor combinations of the number 11,011,231?

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 11,011,231, 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 11,011,231
-1 -11,011,231

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 11,011,231.

Example:
1 x 11,011,231 = 11,011,231
and
-1 x -11,011,231 = 11,011,231
Notice both answers equal 11,011,231

With that explanation out of the way, let's continue. Next, we take the number 11,011,231 and divide it by 2:

11,011,231 ÷ 2 = 5,505,615.5

If the quotient is a whole number, then 2 and 5,505,615.5 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 11,011,231
-1 -11,011,231

Now, we try dividing 11,011,231 by 3:

11,011,231 ÷ 3 = 3,670,410.3333

If the quotient is a whole number, then 3 and 3,670,410.3333 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 11,011,231
-1 -11,011,231

Let's try dividing by 4:

11,011,231 ÷ 4 = 2,752,807.75

If the quotient is a whole number, then 4 and 2,752,807.75 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 11,011,231
-1 11,011,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17113149772173415396591,5192,3874,6137,24916,70920,42932,29150,743143,003224,719355,2011,001,0211,573,03311,011,231
-1-7-11-31-49-77-217-341-539-659-1,519-2,387-4,613-7,249-16,709-20,429-32,291-50,743-143,003-224,719-355,201-1,001,021-1,573,033-11,011,231

More Examples

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