Q: What are the factor combinations of the number 22,004,003?

 A:
Positive:   1 x 220040037 x 314342941 x 53668343 x 511721287 x 76669301 x 731031763 x 124811783 x 12341
Negative: -1 x -22004003-7 x -3143429-41 x -536683-43 x -511721-287 x -76669-301 x -73103-1763 x -12481-1783 x -12341


How do I find the factor combinations of the number 22,004,003?

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 22,004,003, 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 22,004,003
-1 -22,004,003

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 22,004,003.

Example:
1 x 22,004,003 = 22,004,003
and
-1 x -22,004,003 = 22,004,003
Notice both answers equal 22,004,003

With that explanation out of the way, let's continue. Next, we take the number 22,004,003 and divide it by 2:

22,004,003 ÷ 2 = 11,002,001.5

If the quotient is a whole number, then 2 and 11,002,001.5 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 22,004,003
-1 -22,004,003

Now, we try dividing 22,004,003 by 3:

22,004,003 ÷ 3 = 7,334,667.6667

If the quotient is a whole number, then 3 and 7,334,667.6667 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 22,004,003
-1 -22,004,003

Let's try dividing by 4:

22,004,003 ÷ 4 = 5,501,000.75

If the quotient is a whole number, then 4 and 5,501,000.75 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 22,004,003
-1 22,004,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1741432873011,7631,78312,34112,48173,10376,669511,721536,6833,143,42922,004,003
-1-7-41-43-287-301-1,763-1,783-12,341-12,481-73,103-76,669-511,721-536,683-3,143,429-22,004,003

More Examples

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