Q: What are the factor combinations of the number 21,363,713?

 A:
Positive:   1 x 213637137 x 305195917 x 1256689119 x 179527
Negative: -1 x -21363713-7 x -3051959-17 x -1256689-119 x -179527


How do I find the factor combinations of the number 21,363,713?

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 21,363,713, 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 21,363,713
-1 -21,363,713

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 21,363,713.

Example:
1 x 21,363,713 = 21,363,713
and
-1 x -21,363,713 = 21,363,713
Notice both answers equal 21,363,713

With that explanation out of the way, let's continue. Next, we take the number 21,363,713 and divide it by 2:

21,363,713 ÷ 2 = 10,681,856.5

If the quotient is a whole number, then 2 and 10,681,856.5 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 21,363,713
-1 -21,363,713

Now, we try dividing 21,363,713 by 3:

21,363,713 ÷ 3 = 7,121,237.6667

If the quotient is a whole number, then 3 and 7,121,237.6667 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 21,363,713
-1 -21,363,713

Let's try dividing by 4:

21,363,713 ÷ 4 = 5,340,928.25

If the quotient is a whole number, then 4 and 5,340,928.25 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 21,363,713
-1 21,363,713
Keep dividing by the next highest number until you cannot divide anymore.

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

1717119179,5271,256,6893,051,95921,363,713
-1-7-17-119-179,527-1,256,689-3,051,959-21,363,713

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,363,713:


Ask a Question