Q: What are the factor combinations of the number 11,358,431?

 A:
Positive:   1 x 113584317 x 162263317 x 66814331 x 366401119 x 95449217 x 52343527 x 215533079 x 3689
Negative: -1 x -11358431-7 x -1622633-17 x -668143-31 x -366401-119 x -95449-217 x -52343-527 x -21553-3079 x -3689


How do I find the factor combinations of the number 11,358,431?

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 11,358,431, 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 11,358,431
-1 -11,358,431

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 11,358,431.

Example:
1 x 11,358,431 = 11,358,431
and
-1 x -11,358,431 = 11,358,431
Notice both answers equal 11,358,431

With that explanation out of the way, let's continue. Next, we take the number 11,358,431 and divide it by 2:

11,358,431 ÷ 2 = 5,679,215.5

If the quotient is a whole number, then 2 and 5,679,215.5 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 11,358,431
-1 -11,358,431

Now, we try dividing 11,358,431 by 3:

11,358,431 ÷ 3 = 3,786,143.6667

If the quotient is a whole number, then 3 and 3,786,143.6667 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 11,358,431
-1 -11,358,431

Let's try dividing by 4:

11,358,431 ÷ 4 = 2,839,607.75

If the quotient is a whole number, then 4 and 2,839,607.75 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 11,358,431
-1 11,358,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,0793,68921,55352,34395,449366,401668,1431,622,63311,358,431
-1-7-17-31-119-217-527-3,079-3,689-21,553-52,343-95,449-366,401-668,143-1,622,633-11,358,431

More Examples

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