Q: What are the factor combinations of the number 22,237,003?

 A:
Positive:   1 x 2223700317 x 1308059577 x 385392267 x 9809
Negative: -1 x -22237003-17 x -1308059-577 x -38539-2267 x -9809


How do I find the factor combinations of the number 22,237,003?

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 22,237,003, 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 22,237,003
-1 -22,237,003

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 22,237,003.

Example:
1 x 22,237,003 = 22,237,003
and
-1 x -22,237,003 = 22,237,003
Notice both answers equal 22,237,003

With that explanation out of the way, let's continue. Next, we take the number 22,237,003 and divide it by 2:

22,237,003 ÷ 2 = 11,118,501.5

If the quotient is a whole number, then 2 and 11,118,501.5 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 22,237,003
-1 -22,237,003

Now, we try dividing 22,237,003 by 3:

22,237,003 ÷ 3 = 7,412,334.3333

If the quotient is a whole number, then 3 and 7,412,334.3333 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 22,237,003
-1 -22,237,003

Let's try dividing by 4:

22,237,003 ÷ 4 = 5,559,250.75

If the quotient is a whole number, then 4 and 5,559,250.75 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 22,237,003
-1 22,237,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1175772,2679,80938,5391,308,05922,237,003
-1-17-577-2,267-9,809-38,539-1,308,059-22,237,003

More Examples

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