Q: What are the factor combinations of the number 21,941,629?

 A:
Positive:   1 x 2194162937 x 59301753 x 41399367 x 327487167 x 1313871961 x 111892479 x 88513551 x 6179
Negative: -1 x -21941629-37 x -593017-53 x -413993-67 x -327487-167 x -131387-1961 x -11189-2479 x -8851-3551 x -6179


How do I find the factor combinations of the number 21,941,629?

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 21,941,629, 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 21,941,629
-1 -21,941,629

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 21,941,629.

Example:
1 x 21,941,629 = 21,941,629
and
-1 x -21,941,629 = 21,941,629
Notice both answers equal 21,941,629

With that explanation out of the way, let's continue. Next, we take the number 21,941,629 and divide it by 2:

21,941,629 ÷ 2 = 10,970,814.5

If the quotient is a whole number, then 2 and 10,970,814.5 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 21,941,629
-1 -21,941,629

Now, we try dividing 21,941,629 by 3:

21,941,629 ÷ 3 = 7,313,876.3333

If the quotient is a whole number, then 3 and 7,313,876.3333 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 21,941,629
-1 -21,941,629

Let's try dividing by 4:

21,941,629 ÷ 4 = 5,485,407.25

If the quotient is a whole number, then 4 and 5,485,407.25 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 21,941,629
-1 21,941,629
Keep dividing by the next highest number until you cannot divide anymore.

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

13753671671,9612,4793,5516,1798,85111,189131,387327,487413,993593,01721,941,629
-1-37-53-67-167-1,961-2,479-3,551-6,179-8,851-11,189-131,387-327,487-413,993-593,017-21,941,629

More Examples

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