Q: What are the factor combinations of the number 5,992,429?

 A:
Positive:   1 x 599242919 x 315391139 x 431112269 x 2641
Negative: -1 x -5992429-19 x -315391-139 x -43111-2269 x -2641


How do I find the factor combinations of the number 5,992,429?

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 5,992,429, 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 5,992,429
-1 -5,992,429

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 5,992,429.

Example:
1 x 5,992,429 = 5,992,429
and
-1 x -5,992,429 = 5,992,429
Notice both answers equal 5,992,429

With that explanation out of the way, let's continue. Next, we take the number 5,992,429 and divide it by 2:

5,992,429 ÷ 2 = 2,996,214.5

If the quotient is a whole number, then 2 and 2,996,214.5 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 5,992,429
-1 -5,992,429

Now, we try dividing 5,992,429 by 3:

5,992,429 ÷ 3 = 1,997,476.3333

If the quotient is a whole number, then 3 and 1,997,476.3333 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 5,992,429
-1 -5,992,429

Let's try dividing by 4:

5,992,429 ÷ 4 = 1,498,107.25

If the quotient is a whole number, then 4 and 1,498,107.25 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 5,992,429
-1 5,992,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1191392,2692,64143,111315,3915,992,429
-1-19-139-2,269-2,641-43,111-315,391-5,992,429

More Examples

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