Q: What are the factor combinations of the number 24,664,025?

 A:
Positive:   1 x 246640255 x 493280517 x 145082525 x 98656185 x 290165131 x 188275425 x 58033443 x 55675655 x 376552215 x 111352227 x 110753275 x 7531
Negative: -1 x -24664025-5 x -4932805-17 x -1450825-25 x -986561-85 x -290165-131 x -188275-425 x -58033-443 x -55675-655 x -37655-2215 x -11135-2227 x -11075-3275 x -7531


How do I find the factor combinations of the number 24,664,025?

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 24,664,025, 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 24,664,025
-1 -24,664,025

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 24,664,025.

Example:
1 x 24,664,025 = 24,664,025
and
-1 x -24,664,025 = 24,664,025
Notice both answers equal 24,664,025

With that explanation out of the way, let's continue. Next, we take the number 24,664,025 and divide it by 2:

24,664,025 ÷ 2 = 12,332,012.5

If the quotient is a whole number, then 2 and 12,332,012.5 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 24,664,025
-1 -24,664,025

Now, we try dividing 24,664,025 by 3:

24,664,025 ÷ 3 = 8,221,341.6667

If the quotient is a whole number, then 3 and 8,221,341.6667 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 24,664,025
-1 -24,664,025

Let's try dividing by 4:

24,664,025 ÷ 4 = 6,166,006.25

If the quotient is a whole number, then 4 and 6,166,006.25 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 24,664,025
-1 24,664,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851314254436552,2152,2273,2757,53111,07511,13537,65555,67558,033188,275290,165986,5611,450,8254,932,80524,664,025
-1-5-17-25-85-131-425-443-655-2,215-2,227-3,275-7,531-11,075-11,135-37,655-55,675-58,033-188,275-290,165-986,561-1,450,825-4,932,805-24,664,025

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