Q: What are the factor combinations of the number 12,550,769?

 A:
Positive:   1 x 125507697 x 179296711 x 114097977 x 162997
Negative: -1 x -12550769-7 x -1792967-11 x -1140979-77 x -162997


How do I find the factor combinations of the number 12,550,769?

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 12,550,769, 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 12,550,769
-1 -12,550,769

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 12,550,769.

Example:
1 x 12,550,769 = 12,550,769
and
-1 x -12,550,769 = 12,550,769
Notice both answers equal 12,550,769

With that explanation out of the way, let's continue. Next, we take the number 12,550,769 and divide it by 2:

12,550,769 ÷ 2 = 6,275,384.5

If the quotient is a whole number, then 2 and 6,275,384.5 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 12,550,769
-1 -12,550,769

Now, we try dividing 12,550,769 by 3:

12,550,769 ÷ 3 = 4,183,589.6667

If the quotient is a whole number, then 3 and 4,183,589.6667 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 12,550,769
-1 -12,550,769

Let's try dividing by 4:

12,550,769 ÷ 4 = 3,137,692.25

If the quotient is a whole number, then 4 and 3,137,692.25 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 12,550,769
-1 12,550,769
Keep dividing by the next highest number until you cannot divide anymore.

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

171177162,9971,140,9791,792,96712,550,769
-1-7-11-77-162,997-1,140,979-1,792,967-12,550,769

More Examples

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