Q: What are the factor combinations of the number 482,332,643?

 A:
Positive:   1 x 48233264313 x 371025111279 x 37711716627 x 29009
Negative: -1 x -482332643-13 x -37102511-1279 x -377117-16627 x -29009


How do I find the factor combinations of the number 482,332,643?

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 482,332,643, 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.

1 482,332,643
-1 -482,332,643

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 482,332,643.

Example:
1 x 482,332,643 = 482,332,643
and
-1 x -482,332,643 = 482,332,643
Notice both answers equal 482,332,643

With that explanation out of the way, let's continue. Next, we take the number 482,332,643 and divide it by 2:

482,332,643 ÷ 2 = 241,166,321.5

If the quotient is a whole number, then 2 and 241,166,321.5 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:

1 482,332,643
-1 -482,332,643

Now, we try dividing 482,332,643 by 3:

482,332,643 ÷ 3 = 160,777,547.6667

If the quotient is a whole number, then 3 and 160,777,547.6667 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:

1 482,332,643
-1 -482,332,643

Let's try dividing by 4:

482,332,643 ÷ 4 = 120,583,160.75

If the quotient is a whole number, then 4 and 120,583,160.75 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:

1 482,332,643
-1 482,332,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,27916,62729,009377,11737,102,511482,332,643
-1-13-1,279-16,627-29,009-377,117-37,102,511-482,332,643

More Examples

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