Q: What are the factor combinations of the number 11,322,731?

 A:
Positive:   1 x 113227317 x 161753317 x 66604329 x 390439119 x 95149193 x 58667203 x 55777289 x 39179493 x 229671351 x 83812023 x 55973281 x 3451
Negative: -1 x -11322731-7 x -1617533-17 x -666043-29 x -390439-119 x -95149-193 x -58667-203 x -55777-289 x -39179-493 x -22967-1351 x -8381-2023 x -5597-3281 x -3451


How do I find the factor combinations of the number 11,322,731?

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 11,322,731, 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 11,322,731
-1 -11,322,731

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 11,322,731.

Example:
1 x 11,322,731 = 11,322,731
and
-1 x -11,322,731 = 11,322,731
Notice both answers equal 11,322,731

With that explanation out of the way, let's continue. Next, we take the number 11,322,731 and divide it by 2:

11,322,731 ÷ 2 = 5,661,365.5

If the quotient is a whole number, then 2 and 5,661,365.5 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 11,322,731
-1 -11,322,731

Now, we try dividing 11,322,731 by 3:

11,322,731 ÷ 3 = 3,774,243.6667

If the quotient is a whole number, then 3 and 3,774,243.6667 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 11,322,731
-1 -11,322,731

Let's try dividing by 4:

11,322,731 ÷ 4 = 2,830,682.75

If the quotient is a whole number, then 4 and 2,830,682.75 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 11,322,731
-1 11,322,731
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291191932032894931,3512,0233,2813,4515,5978,38122,96739,17955,77758,66795,149390,439666,0431,617,53311,322,731
-1-7-17-29-119-193-203-289-493-1,351-2,023-3,281-3,451-5,597-8,381-22,967-39,179-55,777-58,667-95,149-390,439-666,043-1,617,533-11,322,731

More Examples

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