Q: What are the factor combinations of the number 21,247,745?

 A:
Positive:   1 x 212477455 x 424954923 x 92381573 x 291065115 x 184763365 x 582131679 x 126552531 x 8395
Negative: -1 x -21247745-5 x -4249549-23 x -923815-73 x -291065-115 x -184763-365 x -58213-1679 x -12655-2531 x -8395


How do I find the factor combinations of the number 21,247,745?

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 21,247,745, 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 21,247,745
-1 -21,247,745

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 21,247,745.

Example:
1 x 21,247,745 = 21,247,745
and
-1 x -21,247,745 = 21,247,745
Notice both answers equal 21,247,745

With that explanation out of the way, let's continue. Next, we take the number 21,247,745 and divide it by 2:

21,247,745 ÷ 2 = 10,623,872.5

If the quotient is a whole number, then 2 and 10,623,872.5 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 21,247,745
-1 -21,247,745

Now, we try dividing 21,247,745 by 3:

21,247,745 ÷ 3 = 7,082,581.6667

If the quotient is a whole number, then 3 and 7,082,581.6667 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 21,247,745
-1 -21,247,745

Let's try dividing by 4:

21,247,745 ÷ 4 = 5,311,936.25

If the quotient is a whole number, then 4 and 5,311,936.25 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 21,247,745
-1 21,247,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1523731153651,6792,5318,39512,65558,213184,763291,065923,8154,249,54921,247,745
-1-5-23-73-115-365-1,679-2,531-8,395-12,655-58,213-184,763-291,065-923,815-4,249,549-21,247,745

More Examples

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