Q: What are the factor combinations of the number 21,342,245?

 A:
Positive:   1 x 213422455 x 426844971 x 30059579 x 270155355 x 60119395 x 54031761 x 280453805 x 5609
Negative: -1 x -21342245-5 x -4268449-71 x -300595-79 x -270155-355 x -60119-395 x -54031-761 x -28045-3805 x -5609


How do I find the factor combinations of the number 21,342,245?

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 21,342,245, 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 21,342,245
-1 -21,342,245

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 21,342,245.

Example:
1 x 21,342,245 = 21,342,245
and
-1 x -21,342,245 = 21,342,245
Notice both answers equal 21,342,245

With that explanation out of the way, let's continue. Next, we take the number 21,342,245 and divide it by 2:

21,342,245 ÷ 2 = 10,671,122.5

If the quotient is a whole number, then 2 and 10,671,122.5 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 21,342,245
-1 -21,342,245

Now, we try dividing 21,342,245 by 3:

21,342,245 ÷ 3 = 7,114,081.6667

If the quotient is a whole number, then 3 and 7,114,081.6667 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 21,342,245
-1 -21,342,245

Let's try dividing by 4:

21,342,245 ÷ 4 = 5,335,561.25

If the quotient is a whole number, then 4 and 5,335,561.25 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 21,342,245
-1 21,342,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1571793553957613,8055,60928,04554,03160,119270,155300,5954,268,44921,342,245
-1-5-71-79-355-395-761-3,805-5,609-28,045-54,031-60,119-270,155-300,595-4,268,449-21,342,245

More Examples

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