Q: What are the factor combinations of the number 8,042,483?

 A:
Positive:   1 x 804248329 x 27732773 x 110171131 x 61393841 x 95632117 x 3799
Negative: -1 x -8042483-29 x -277327-73 x -110171-131 x -61393-841 x -9563-2117 x -3799


How do I find the factor combinations of the number 8,042,483?

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 8,042,483, 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 8,042,483
-1 -8,042,483

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 8,042,483.

Example:
1 x 8,042,483 = 8,042,483
and
-1 x -8,042,483 = 8,042,483
Notice both answers equal 8,042,483

With that explanation out of the way, let's continue. Next, we take the number 8,042,483 and divide it by 2:

8,042,483 ÷ 2 = 4,021,241.5

If the quotient is a whole number, then 2 and 4,021,241.5 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 8,042,483
-1 -8,042,483

Now, we try dividing 8,042,483 by 3:

8,042,483 ÷ 3 = 2,680,827.6667

If the quotient is a whole number, then 3 and 2,680,827.6667 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 8,042,483
-1 -8,042,483

Let's try dividing by 4:

8,042,483 ÷ 4 = 2,010,620.75

If the quotient is a whole number, then 4 and 2,010,620.75 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 8,042,483
-1 8,042,483
Keep dividing by the next highest number until you cannot divide anymore.

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

129731318412,1173,7999,56361,393110,171277,3278,042,483
-1-29-73-131-841-2,117-3,799-9,563-61,393-110,171-277,327-8,042,483

More Examples

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