Q: What are the factor combinations of the number 21,600,359?

 A:
Positive:   1 x 2160035911 x 196366919 x 1136861181 x 119339209 x 103351571 x 378291991 x 108493439 x 6281
Negative: -1 x -21600359-11 x -1963669-19 x -1136861-181 x -119339-209 x -103351-571 x -37829-1991 x -10849-3439 x -6281


How do I find the factor combinations of the number 21,600,359?

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 21,600,359, 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 21,600,359
-1 -21,600,359

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 21,600,359.

Example:
1 x 21,600,359 = 21,600,359
and
-1 x -21,600,359 = 21,600,359
Notice both answers equal 21,600,359

With that explanation out of the way, let's continue. Next, we take the number 21,600,359 and divide it by 2:

21,600,359 ÷ 2 = 10,800,179.5

If the quotient is a whole number, then 2 and 10,800,179.5 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 21,600,359
-1 -21,600,359

Now, we try dividing 21,600,359 by 3:

21,600,359 ÷ 3 = 7,200,119.6667

If the quotient is a whole number, then 3 and 7,200,119.6667 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 21,600,359
-1 -21,600,359

Let's try dividing by 4:

21,600,359 ÷ 4 = 5,400,089.75

If the quotient is a whole number, then 4 and 5,400,089.75 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 21,600,359
-1 21,600,359
Keep dividing by the next highest number until you cannot divide anymore.

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

111191812095711,9913,4396,28110,84937,829103,351119,3391,136,8611,963,66921,600,359
-1-11-19-181-209-571-1,991-3,439-6,281-10,849-37,829-103,351-119,339-1,136,861-1,963,669-21,600,359

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,600,359:


Ask a Question