Q: What are the factor combinations of the number 22,018,315?

 A:
Positive:   1 x 220183155 x 440366311 x 200166517 x 129519555 x 40033385 x 259039187 x 117745935 x 23549
Negative: -1 x -22018315-5 x -4403663-11 x -2001665-17 x -1295195-55 x -400333-85 x -259039-187 x -117745-935 x -23549


How do I find the factor combinations of the number 22,018,315?

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 22,018,315, 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 22,018,315
-1 -22,018,315

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 22,018,315.

Example:
1 x 22,018,315 = 22,018,315
and
-1 x -22,018,315 = 22,018,315
Notice both answers equal 22,018,315

With that explanation out of the way, let's continue. Next, we take the number 22,018,315 and divide it by 2:

22,018,315 ÷ 2 = 11,009,157.5

If the quotient is a whole number, then 2 and 11,009,157.5 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 22,018,315
-1 -22,018,315

Now, we try dividing 22,018,315 by 3:

22,018,315 ÷ 3 = 7,339,438.3333

If the quotient is a whole number, then 3 and 7,339,438.3333 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 22,018,315
-1 -22,018,315

Let's try dividing by 4:

22,018,315 ÷ 4 = 5,504,578.75

If the quotient is a whole number, then 4 and 5,504,578.75 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 22,018,315
-1 22,018,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793523,549117,745259,039400,3331,295,1952,001,6654,403,66322,018,315
-1-5-11-17-55-85-187-935-23,549-117,745-259,039-400,333-1,295,195-2,001,665-4,403,663-22,018,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 22,018,315:


Ask a Question