Q: What are the factor combinations of the number 824,522,581?

 A:
Positive:   1 x 82452258159 x 1397495983 x 9934007137 x 60184131229 x 6708894897 x 1683738083 x 10200711371 x 72511
Negative: -1 x -824522581-59 x -13974959-83 x -9934007-137 x -6018413-1229 x -670889-4897 x -168373-8083 x -102007-11371 x -72511


How do I find the factor combinations of the number 824,522,581?

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 824,522,581, 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.

1 824,522,581
-1 -824,522,581

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 824,522,581.

Example:
1 x 824,522,581 = 824,522,581
and
-1 x -824,522,581 = 824,522,581
Notice both answers equal 824,522,581

With that explanation out of the way, let's continue. Next, we take the number 824,522,581 and divide it by 2:

824,522,581 ÷ 2 = 412,261,290.5

If the quotient is a whole number, then 2 and 412,261,290.5 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:

1 824,522,581
-1 -824,522,581

Now, we try dividing 824,522,581 by 3:

824,522,581 ÷ 3 = 274,840,860.3333

If the quotient is a whole number, then 3 and 274,840,860.3333 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:

1 824,522,581
-1 -824,522,581

Let's try dividing by 4:

824,522,581 ÷ 4 = 206,130,645.25

If the quotient is a whole number, then 4 and 206,130,645.25 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:

1 824,522,581
-1 824,522,581
Keep dividing by the next highest number until you cannot divide anymore.

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

159831371,2294,8978,08311,37172,511102,007168,373670,8896,018,4139,934,00713,974,959824,522,581
-1-59-83-137-1,229-4,897-8,083-11,371-72,511-102,007-168,373-670,889-6,018,413-9,934,007-13,974,959-824,522,581

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