Q: What are the factor combinations of the number 824,260,075?

 A:
Positive:   1 x 8242600755 x 16485201525 x 32970403103 x 8002525515 x 16005052575 x 320101
Negative: -1 x -824260075-5 x -164852015-25 x -32970403-103 x -8002525-515 x -1600505-2575 x -320101


How do I find the factor combinations of the number 824,260,075?

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 824,260,075, 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.

1 824,260,075
-1 -824,260,075

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 824,260,075.

Example:
1 x 824,260,075 = 824,260,075
and
-1 x -824,260,075 = 824,260,075
Notice both answers equal 824,260,075

With that explanation out of the way, let's continue. Next, we take the number 824,260,075 and divide it by 2:

824,260,075 ÷ 2 = 412,130,037.5

If the quotient is a whole number, then 2 and 412,130,037.5 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:

1 824,260,075
-1 -824,260,075

Now, we try dividing 824,260,075 by 3:

824,260,075 ÷ 3 = 274,753,358.3333

If the quotient is a whole number, then 3 and 274,753,358.3333 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:

1 824,260,075
-1 -824,260,075

Let's try dividing by 4:

824,260,075 ÷ 4 = 206,065,018.75

If the quotient is a whole number, then 4 and 206,065,018.75 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:

1 824,260,075
-1 824,260,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15251035152,575320,1011,600,5058,002,52532,970,403164,852,015824,260,075
-1-5-25-103-515-2,575-320,101-1,600,505-8,002,525-32,970,403-164,852,015-824,260,075

More Examples

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