Q: What are the factor combinations of the number 12,828,067?

 A:
Positive:   1 x 128280677 x 183258153 x 24203971 x 180677371 x 34577487 x 26341497 x 258113409 x 3763
Negative: -1 x -12828067-7 x -1832581-53 x -242039-71 x -180677-371 x -34577-487 x -26341-497 x -25811-3409 x -3763


How do I find the factor combinations of the number 12,828,067?

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 12,828,067, 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 12,828,067
-1 -12,828,067

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 12,828,067.

Example:
1 x 12,828,067 = 12,828,067
and
-1 x -12,828,067 = 12,828,067
Notice both answers equal 12,828,067

With that explanation out of the way, let's continue. Next, we take the number 12,828,067 and divide it by 2:

12,828,067 ÷ 2 = 6,414,033.5

If the quotient is a whole number, then 2 and 6,414,033.5 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 12,828,067
-1 -12,828,067

Now, we try dividing 12,828,067 by 3:

12,828,067 ÷ 3 = 4,276,022.3333

If the quotient is a whole number, then 3 and 4,276,022.3333 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 12,828,067
-1 -12,828,067

Let's try dividing by 4:

12,828,067 ÷ 4 = 3,207,016.75

If the quotient is a whole number, then 4 and 3,207,016.75 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 12,828,067
-1 12,828,067
Keep dividing by the next highest number until you cannot divide anymore.

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

1753713714874973,4093,76325,81126,34134,577180,677242,0391,832,58112,828,067
-1-7-53-71-371-487-497-3,409-3,763-25,811-26,341-34,577-180,677-242,039-1,832,581-12,828,067

More Examples

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