Q: What are the factor combinations of the number 24,613,625?

 A:
Positive:   1 x 246136255 x 492272525 x 984545125 x 196909223 x 110375883 x 278751115 x 220754415 x 5575
Negative: -1 x -24613625-5 x -4922725-25 x -984545-125 x -196909-223 x -110375-883 x -27875-1115 x -22075-4415 x -5575


How do I find the factor combinations of the number 24,613,625?

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 24,613,625, 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 24,613,625
-1 -24,613,625

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 24,613,625.

Example:
1 x 24,613,625 = 24,613,625
and
-1 x -24,613,625 = 24,613,625
Notice both answers equal 24,613,625

With that explanation out of the way, let's continue. Next, we take the number 24,613,625 and divide it by 2:

24,613,625 ÷ 2 = 12,306,812.5

If the quotient is a whole number, then 2 and 12,306,812.5 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 24,613,625
-1 -24,613,625

Now, we try dividing 24,613,625 by 3:

24,613,625 ÷ 3 = 8,204,541.6667

If the quotient is a whole number, then 3 and 8,204,541.6667 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 24,613,625
-1 -24,613,625

Let's try dividing by 4:

24,613,625 ÷ 4 = 6,153,406.25

If the quotient is a whole number, then 4 and 6,153,406.25 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 24,613,625
-1 24,613,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252238831,1154,4155,57522,07527,875110,375196,909984,5454,922,72524,613,625
-1-5-25-125-223-883-1,115-4,415-5,575-22,075-27,875-110,375-196,909-984,545-4,922,725-24,613,625

More Examples

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