Q: What are the factor combinations of the number 21,141,043?

 A:
Positive:   1 x 211410437 x 302014911 x 192191377 x 274559463 x 45661593 x 356513241 x 65234151 x 5093
Negative: -1 x -21141043-7 x -3020149-11 x -1921913-77 x -274559-463 x -45661-593 x -35651-3241 x -6523-4151 x -5093


How do I find the factor combinations of the number 21,141,043?

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 21,141,043, 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 21,141,043
-1 -21,141,043

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 21,141,043.

Example:
1 x 21,141,043 = 21,141,043
and
-1 x -21,141,043 = 21,141,043
Notice both answers equal 21,141,043

With that explanation out of the way, let's continue. Next, we take the number 21,141,043 and divide it by 2:

21,141,043 ÷ 2 = 10,570,521.5

If the quotient is a whole number, then 2 and 10,570,521.5 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 21,141,043
-1 -21,141,043

Now, we try dividing 21,141,043 by 3:

21,141,043 ÷ 3 = 7,047,014.3333

If the quotient is a whole number, then 3 and 7,047,014.3333 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 21,141,043
-1 -21,141,043

Let's try dividing by 4:

21,141,043 ÷ 4 = 5,285,260.75

If the quotient is a whole number, then 4 and 5,285,260.75 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 21,141,043
-1 21,141,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774635933,2414,1515,0936,52335,65145,661274,5591,921,9133,020,14921,141,043
-1-7-11-77-463-593-3,241-4,151-5,093-6,523-35,651-45,661-274,559-1,921,913-3,020,149-21,141,043

More Examples

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