Q: What are the factor combinations of the number 826,376,443?

 A:
Positive:   1 x 82637644317 x 4861037919 x 4349349741 x 20155523323 x 2558441697 x 1185619779 x 106081713243 x 62401
Negative: -1 x -826376443-17 x -48610379-19 x -43493497-41 x -20155523-323 x -2558441-697 x -1185619-779 x -1060817-13243 x -62401


How do I find the factor combinations of the number 826,376,443?

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 826,376,443, 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.

1 826,376,443
-1 -826,376,443

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 826,376,443.

Example:
1 x 826,376,443 = 826,376,443
and
-1 x -826,376,443 = 826,376,443
Notice both answers equal 826,376,443

With that explanation out of the way, let's continue. Next, we take the number 826,376,443 and divide it by 2:

826,376,443 ÷ 2 = 413,188,221.5

If the quotient is a whole number, then 2 and 413,188,221.5 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:

1 826,376,443
-1 -826,376,443

Now, we try dividing 826,376,443 by 3:

826,376,443 ÷ 3 = 275,458,814.3333

If the quotient is a whole number, then 3 and 275,458,814.3333 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:

1 826,376,443
-1 -826,376,443

Let's try dividing by 4:

826,376,443 ÷ 4 = 206,594,110.75

If the quotient is a whole number, then 4 and 206,594,110.75 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:

1 826,376,443
-1 826,376,443
Keep dividing by the next highest number until you cannot divide anymore.

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

117194132369777913,24362,4011,060,8171,185,6192,558,44120,155,52343,493,49748,610,379826,376,443
-1-17-19-41-323-697-779-13,243-62,401-1,060,817-1,185,619-2,558,441-20,155,523-43,493,497-48,610,379-826,376,443

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