Q: What are the factor combinations of the number 11,543,425?

 A:
Positive:   1 x 115434255 x 230868517 x 67902525 x 46173785 x 135805157 x 73525173 x 66725425 x 27161785 x 14705865 x 133452669 x 43252941 x 3925
Negative: -1 x -11543425-5 x -2308685-17 x -679025-25 x -461737-85 x -135805-157 x -73525-173 x -66725-425 x -27161-785 x -14705-865 x -13345-2669 x -4325-2941 x -3925


How do I find the factor combinations of the number 11,543,425?

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 11,543,425, 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 11,543,425
-1 -11,543,425

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 11,543,425.

Example:
1 x 11,543,425 = 11,543,425
and
-1 x -11,543,425 = 11,543,425
Notice both answers equal 11,543,425

With that explanation out of the way, let's continue. Next, we take the number 11,543,425 and divide it by 2:

11,543,425 ÷ 2 = 5,771,712.5

If the quotient is a whole number, then 2 and 5,771,712.5 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 11,543,425
-1 -11,543,425

Now, we try dividing 11,543,425 by 3:

11,543,425 ÷ 3 = 3,847,808.3333

If the quotient is a whole number, then 3 and 3,847,808.3333 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 11,543,425
-1 -11,543,425

Let's try dividing by 4:

11,543,425 ÷ 4 = 2,885,856.25

If the quotient is a whole number, then 4 and 2,885,856.25 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 11,543,425
-1 11,543,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851571734257858652,6692,9413,9254,32513,34514,70527,16166,72573,525135,805461,737679,0252,308,68511,543,425
-1-5-17-25-85-157-173-425-785-865-2,669-2,941-3,925-4,325-13,345-14,705-27,161-66,725-73,525-135,805-461,737-679,025-2,308,685-11,543,425

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