Q: What are the factor combinations of the number 24,820,747?

 A:
Positive:   1 x 248207477 x 354582137 x 67083147 x 528101259 x 95833329 x 754431739 x 142732039 x 12173
Negative: -1 x -24820747-7 x -3545821-37 x -670831-47 x -528101-259 x -95833-329 x -75443-1739 x -14273-2039 x -12173


How do I find the factor combinations of the number 24,820,747?

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 24,820,747, 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 24,820,747
-1 -24,820,747

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 24,820,747.

Example:
1 x 24,820,747 = 24,820,747
and
-1 x -24,820,747 = 24,820,747
Notice both answers equal 24,820,747

With that explanation out of the way, let's continue. Next, we take the number 24,820,747 and divide it by 2:

24,820,747 ÷ 2 = 12,410,373.5

If the quotient is a whole number, then 2 and 12,410,373.5 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 24,820,747
-1 -24,820,747

Now, we try dividing 24,820,747 by 3:

24,820,747 ÷ 3 = 8,273,582.3333

If the quotient is a whole number, then 3 and 8,273,582.3333 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 24,820,747
-1 -24,820,747

Let's try dividing by 4:

24,820,747 ÷ 4 = 6,205,186.75

If the quotient is a whole number, then 4 and 6,205,186.75 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 24,820,747
-1 24,820,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593291,7392,03912,17314,27375,44395,833528,101670,8313,545,82124,820,747
-1-7-37-47-259-329-1,739-2,039-12,173-14,273-75,443-95,833-528,101-670,831-3,545,821-24,820,747

More Examples

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