Q: What are the factor combinations of the number 6,492,439?

 A:
Positive:   1 x 649243947 x 138137107 x 606771291 x 5029
Negative: -1 x -6492439-47 x -138137-107 x -60677-1291 x -5029


How do I find the factor combinations of the number 6,492,439?

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 6,492,439, 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 6,492,439
-1 -6,492,439

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 6,492,439.

Example:
1 x 6,492,439 = 6,492,439
and
-1 x -6,492,439 = 6,492,439
Notice both answers equal 6,492,439

With that explanation out of the way, let's continue. Next, we take the number 6,492,439 and divide it by 2:

6,492,439 ÷ 2 = 3,246,219.5

If the quotient is a whole number, then 2 and 3,246,219.5 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 6,492,439
-1 -6,492,439

Now, we try dividing 6,492,439 by 3:

6,492,439 ÷ 3 = 2,164,146.3333

If the quotient is a whole number, then 3 and 2,164,146.3333 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 6,492,439
-1 -6,492,439

Let's try dividing by 4:

6,492,439 ÷ 4 = 1,623,109.75

If the quotient is a whole number, then 4 and 1,623,109.75 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 6,492,439
-1 6,492,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1471071,2915,02960,677138,1376,492,439
-1-47-107-1,291-5,029-60,677-138,137-6,492,439

More Examples

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