Q: What are the factor combinations of the number 55,266,565?

 A:
Positive:   1 x 552665655 x 1105331341 x 1347965205 x 269593257 x 2150451049 x 526851285 x 430095245 x 10537
Negative: -1 x -55266565-5 x -11053313-41 x -1347965-205 x -269593-257 x -215045-1049 x -52685-1285 x -43009-5245 x -10537


How do I find the factor combinations of the number 55,266,565?

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 55,266,565, 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 55,266,565
-1 -55,266,565

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 55,266,565.

Example:
1 x 55,266,565 = 55,266,565
and
-1 x -55,266,565 = 55,266,565
Notice both answers equal 55,266,565

With that explanation out of the way, let's continue. Next, we take the number 55,266,565 and divide it by 2:

55,266,565 ÷ 2 = 27,633,282.5

If the quotient is a whole number, then 2 and 27,633,282.5 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 55,266,565
-1 -55,266,565

Now, we try dividing 55,266,565 by 3:

55,266,565 ÷ 3 = 18,422,188.3333

If the quotient is a whole number, then 3 and 18,422,188.3333 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 55,266,565
-1 -55,266,565

Let's try dividing by 4:

55,266,565 ÷ 4 = 13,816,641.25

If the quotient is a whole number, then 4 and 13,816,641.25 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 55,266,565
-1 55,266,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052571,0491,2855,24510,53743,00952,685215,045269,5931,347,96511,053,31355,266,565
-1-5-41-205-257-1,049-1,285-5,245-10,537-43,009-52,685-215,045-269,593-1,347,965-11,053,313-55,266,565

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,266,565:


Ask a Question