Q: What are the factor combinations of the number 5,428,675?

 A:
Positive:   1 x 54286755 x 10857357 x 77552525 x 21714735 x 15510567 x 81025175 x 31021335 x 16205463 x 11725469 x 115751675 x 32412315 x 2345
Negative: -1 x -5428675-5 x -1085735-7 x -775525-25 x -217147-35 x -155105-67 x -81025-175 x -31021-335 x -16205-463 x -11725-469 x -11575-1675 x -3241-2315 x -2345


How do I find the factor combinations of the number 5,428,675?

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 5,428,675, 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 5,428,675
-1 -5,428,675

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 5,428,675.

Example:
1 x 5,428,675 = 5,428,675
and
-1 x -5,428,675 = 5,428,675
Notice both answers equal 5,428,675

With that explanation out of the way, let's continue. Next, we take the number 5,428,675 and divide it by 2:

5,428,675 ÷ 2 = 2,714,337.5

If the quotient is a whole number, then 2 and 2,714,337.5 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 5,428,675
-1 -5,428,675

Now, we try dividing 5,428,675 by 3:

5,428,675 ÷ 3 = 1,809,558.3333

If the quotient is a whole number, then 3 and 1,809,558.3333 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 5,428,675
-1 -5,428,675

Let's try dividing by 4:

5,428,675 ÷ 4 = 1,357,168.75

If the quotient is a whole number, then 4 and 1,357,168.75 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 5,428,675
-1 5,428,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671753354634691,6752,3152,3453,24111,57511,72516,20531,02181,025155,105217,147775,5251,085,7355,428,675
-1-5-7-25-35-67-175-335-463-469-1,675-2,315-2,345-3,241-11,575-11,725-16,205-31,021-81,025-155,105-217,147-775,525-1,085,735-5,428,675

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