Q: What are the factor combinations of the number 825,082,205?

 A:
Positive:   1 x 8250822055 x 16501644131 x 26615555155 x 5323111463 x 17820352315 x 35640711497 x 7176514353 x 57485
Negative: -1 x -825082205-5 x -165016441-31 x -26615555-155 x -5323111-463 x -1782035-2315 x -356407-11497 x -71765-14353 x -57485


How do I find the factor combinations of the number 825,082,205?

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 825,082,205, 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.

1 825,082,205
-1 -825,082,205

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 825,082,205.

Example:
1 x 825,082,205 = 825,082,205
and
-1 x -825,082,205 = 825,082,205
Notice both answers equal 825,082,205

With that explanation out of the way, let's continue. Next, we take the number 825,082,205 and divide it by 2:

825,082,205 ÷ 2 = 412,541,102.5

If the quotient is a whole number, then 2 and 412,541,102.5 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:

1 825,082,205
-1 -825,082,205

Now, we try dividing 825,082,205 by 3:

825,082,205 ÷ 3 = 275,027,401.6667

If the quotient is a whole number, then 3 and 275,027,401.6667 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:

1 825,082,205
-1 -825,082,205

Let's try dividing by 4:

825,082,205 ÷ 4 = 206,270,551.25

If the quotient is a whole number, then 4 and 206,270,551.25 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:

1 825,082,205
-1 825,082,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15311554632,31511,49714,35357,48571,765356,4071,782,0355,323,11126,615,555165,016,441825,082,205
-1-5-31-155-463-2,315-11,497-14,353-57,485-71,765-356,407-1,782,035-5,323,111-26,615,555-165,016,441-825,082,205

More Examples

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