Q: What are the factor combinations of the number 24,826,555?

 A:
Positive:   1 x 248265555 x 496531113 x 190973565 x 381947193 x 128635965 x 257271979 x 125452509 x 9895
Negative: -1 x -24826555-5 x -4965311-13 x -1909735-65 x -381947-193 x -128635-965 x -25727-1979 x -12545-2509 x -9895


How do I find the factor combinations of the number 24,826,555?

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 24,826,555, 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 24,826,555
-1 -24,826,555

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 24,826,555.

Example:
1 x 24,826,555 = 24,826,555
and
-1 x -24,826,555 = 24,826,555
Notice both answers equal 24,826,555

With that explanation out of the way, let's continue. Next, we take the number 24,826,555 and divide it by 2:

24,826,555 ÷ 2 = 12,413,277.5

If the quotient is a whole number, then 2 and 12,413,277.5 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 24,826,555
-1 -24,826,555

Now, we try dividing 24,826,555 by 3:

24,826,555 ÷ 3 = 8,275,518.3333

If the quotient is a whole number, then 3 and 8,275,518.3333 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 24,826,555
-1 -24,826,555

Let's try dividing by 4:

24,826,555 ÷ 4 = 6,206,638.75

If the quotient is a whole number, then 4 and 6,206,638.75 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 24,826,555
-1 24,826,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651939651,9792,5099,89512,54525,727128,635381,9471,909,7354,965,31124,826,555
-1-5-13-65-193-965-1,979-2,509-9,895-12,545-25,727-128,635-381,947-1,909,735-4,965,311-24,826,555

More Examples

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