Q: What are the factor combinations of the number 55,550,005?

 A:
Positive:   1 x 555500055 x 111100017 x 793571535 x 158714347 x 1181915235 x 236383329 x 1688451645 x 33769
Negative: -1 x -55550005-5 x -11110001-7 x -7935715-35 x -1587143-47 x -1181915-235 x -236383-329 x -168845-1645 x -33769


How do I find the factor combinations of the number 55,550,005?

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 55,550,005, 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 55,550,005
-1 -55,550,005

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 55,550,005.

Example:
1 x 55,550,005 = 55,550,005
and
-1 x -55,550,005 = 55,550,005
Notice both answers equal 55,550,005

With that explanation out of the way, let's continue. Next, we take the number 55,550,005 and divide it by 2:

55,550,005 ÷ 2 = 27,775,002.5

If the quotient is a whole number, then 2 and 27,775,002.5 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 55,550,005
-1 -55,550,005

Now, we try dividing 55,550,005 by 3:

55,550,005 ÷ 3 = 18,516,668.3333

If the quotient is a whole number, then 3 and 18,516,668.3333 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 55,550,005
-1 -55,550,005

Let's try dividing by 4:

55,550,005 ÷ 4 = 13,887,501.25

If the quotient is a whole number, then 4 and 13,887,501.25 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 55,550,005
-1 55,550,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,64533,769168,845236,3831,181,9151,587,1437,935,71511,110,00155,550,005
-1-5-7-35-47-235-329-1,645-33,769-168,845-236,383-1,181,915-1,587,143-7,935,715-11,110,001-55,550,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,550,005:


Ask a Question