Q: What are the factor combinations of the number 12,496,955?

 A:
Positive:   1 x 124969555 x 249939117 x 73511585 x 147023233 x 53635631 x 198051165 x 107273155 x 3961
Negative: -1 x -12496955-5 x -2499391-17 x -735115-85 x -147023-233 x -53635-631 x -19805-1165 x -10727-3155 x -3961


How do I find the factor combinations of the number 12,496,955?

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 12,496,955, 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 12,496,955
-1 -12,496,955

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 12,496,955.

Example:
1 x 12,496,955 = 12,496,955
and
-1 x -12,496,955 = 12,496,955
Notice both answers equal 12,496,955

With that explanation out of the way, let's continue. Next, we take the number 12,496,955 and divide it by 2:

12,496,955 ÷ 2 = 6,248,477.5

If the quotient is a whole number, then 2 and 6,248,477.5 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 12,496,955
-1 -12,496,955

Now, we try dividing 12,496,955 by 3:

12,496,955 ÷ 3 = 4,165,651.6667

If the quotient is a whole number, then 3 and 4,165,651.6667 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 12,496,955
-1 -12,496,955

Let's try dividing by 4:

12,496,955 ÷ 4 = 3,124,238.75

If the quotient is a whole number, then 4 and 3,124,238.75 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 12,496,955
-1 12,496,955
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852336311,1653,1553,96110,72719,80553,635147,023735,1152,499,39112,496,955
-1-5-17-85-233-631-1,165-3,155-3,961-10,727-19,805-53,635-147,023-735,115-2,499,391-12,496,955

More Examples

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