Q: What are the factor combinations of the number 22,220,003?

 A:
Positive:   1 x 2222000313 x 170923117 x 130705929 x 766207221 x 100543377 x 58939493 x 450713467 x 6409
Negative: -1 x -22220003-13 x -1709231-17 x -1307059-29 x -766207-221 x -100543-377 x -58939-493 x -45071-3467 x -6409


How do I find the factor combinations of the number 22,220,003?

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 22,220,003, 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 22,220,003
-1 -22,220,003

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 22,220,003.

Example:
1 x 22,220,003 = 22,220,003
and
-1 x -22,220,003 = 22,220,003
Notice both answers equal 22,220,003

With that explanation out of the way, let's continue. Next, we take the number 22,220,003 and divide it by 2:

22,220,003 ÷ 2 = 11,110,001.5

If the quotient is a whole number, then 2 and 11,110,001.5 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 22,220,003
-1 -22,220,003

Now, we try dividing 22,220,003 by 3:

22,220,003 ÷ 3 = 7,406,667.6667

If the quotient is a whole number, then 3 and 7,406,667.6667 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 22,220,003
-1 -22,220,003

Let's try dividing by 4:

22,220,003 ÷ 4 = 5,555,000.75

If the quotient is a whole number, then 4 and 5,555,000.75 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 22,220,003
-1 22,220,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774933,4676,40945,07158,939100,543766,2071,307,0591,709,23122,220,003
-1-13-17-29-221-377-493-3,467-6,409-45,071-58,939-100,543-766,207-1,307,059-1,709,231-22,220,003

More Examples

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