Q: What are the factor combinations of the number 55,324,255?

 A:
Positive:   1 x 553242555 x 110648517 x 790346535 x 158069361 x 906955305 x 181391427 x 1295652135 x 25913
Negative: -1 x -55324255-5 x -11064851-7 x -7903465-35 x -1580693-61 x -906955-305 x -181391-427 x -129565-2135 x -25913


How do I find the factor combinations of the number 55,324,255?

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 55,324,255, 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 55,324,255
-1 -55,324,255

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 55,324,255.

Example:
1 x 55,324,255 = 55,324,255
and
-1 x -55,324,255 = 55,324,255
Notice both answers equal 55,324,255

With that explanation out of the way, let's continue. Next, we take the number 55,324,255 and divide it by 2:

55,324,255 ÷ 2 = 27,662,127.5

If the quotient is a whole number, then 2 and 27,662,127.5 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 55,324,255
-1 -55,324,255

Now, we try dividing 55,324,255 by 3:

55,324,255 ÷ 3 = 18,441,418.3333

If the quotient is a whole number, then 3 and 18,441,418.3333 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 55,324,255
-1 -55,324,255

Let's try dividing by 4:

55,324,255 ÷ 4 = 13,831,063.75

If the quotient is a whole number, then 4 and 13,831,063.75 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 55,324,255
-1 55,324,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735613054272,13525,913129,565181,391906,9551,580,6937,903,46511,064,85155,324,255
-1-5-7-35-61-305-427-2,135-25,913-129,565-181,391-906,955-1,580,693-7,903,465-11,064,851-55,324,255

More Examples

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