Q: What are the factor combinations of the number 824,481,816?

 A:
Positive:   1 x 8244818162 x 4122409083 x 2748272724 x 2061204546 x 1374136368 x 10306022712 x 6870681824 x 34353409
Negative: -1 x -824481816-2 x -412240908-3 x -274827272-4 x -206120454-6 x -137413636-8 x -103060227-12 x -68706818-24 x -34353409


How do I find the factor combinations of the number 824,481,816?

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 824,481,816, 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.

1 824,481,816
-1 -824,481,816

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 824,481,816.

Example:
1 x 824,481,816 = 824,481,816
and
-1 x -824,481,816 = 824,481,816
Notice both answers equal 824,481,816

With that explanation out of the way, let's continue. Next, we take the number 824,481,816 and divide it by 2:

824,481,816 ÷ 2 = 412,240,908

If the quotient is a whole number, then 2 and 412,240,908 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 412,240,908 824,481,816
-1 -2 -412,240,908 -824,481,816

Now, we try dividing 824,481,816 by 3:

824,481,816 ÷ 3 = 274,827,272

If the quotient is a whole number, then 3 and 274,827,272 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 274,827,272 412,240,908 824,481,816
-1 -2 -3 -274,827,272 -412,240,908 -824,481,816

Let's try dividing by 4:

824,481,816 ÷ 4 = 206,120,454

If the quotient is a whole number, then 4 and 206,120,454 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 206,120,454 274,827,272 412,240,908 824,481,816
-1 -2 -3 -4 -206,120,454 -274,827,272 -412,240,908 824,481,816
Keep dividing by the next highest number until you cannot divide anymore.

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

123468122434,353,40968,706,818103,060,227137,413,636206,120,454274,827,272412,240,908824,481,816
-1-2-3-4-6-8-12-24-34,353,409-68,706,818-103,060,227-137,413,636-206,120,454-274,827,272-412,240,908-824,481,816

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