Q: What are the factor combinations of the number 100,020,003?

 A:
Positive:   1 x 1000200033 x 33340001
Negative: -1 x -100020003-3 x -33340001


How do I find the factor combinations of the number 100,020,003?

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 100,020,003, 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.

1 100,020,003
-1 -100,020,003

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 100,020,003.

Example:
1 x 100,020,003 = 100,020,003
and
-1 x -100,020,003 = 100,020,003
Notice both answers equal 100,020,003

With that explanation out of the way, let's continue. Next, we take the number 100,020,003 and divide it by 2:

100,020,003 ÷ 2 = 50,010,001.5

If the quotient is a whole number, then 2 and 50,010,001.5 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:

1 100,020,003
-1 -100,020,003

Now, we try dividing 100,020,003 by 3:

100,020,003 ÷ 3 = 33,340,001

If the quotient is a whole number, then 3 and 33,340,001 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 33,340,001 100,020,003
-1 -3 -33,340,001 -100,020,003

Let's try dividing by 4:

100,020,003 ÷ 4 = 25,005,000.75

If the quotient is a whole number, then 4 and 25,005,000.75 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 3 33,340,001 100,020,003
-1 -3 -33,340,001 100,020,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1333,340,001100,020,003
-1-3-33,340,001-100,020,003

More Examples

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