Q: What are the factor combinations of the number 55,727,255?

 A:
Positive:   1 x 557272555 x 11145451101 x 551755163 x 341885505 x 110351677 x 82315815 x 683773385 x 16463
Negative: -1 x -55727255-5 x -11145451-101 x -551755-163 x -341885-505 x -110351-677 x -82315-815 x -68377-3385 x -16463


How do I find the factor combinations of the number 55,727,255?

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 55,727,255, 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 55,727,255
-1 -55,727,255

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 55,727,255.

Example:
1 x 55,727,255 = 55,727,255
and
-1 x -55,727,255 = 55,727,255
Notice both answers equal 55,727,255

With that explanation out of the way, let's continue. Next, we take the number 55,727,255 and divide it by 2:

55,727,255 ÷ 2 = 27,863,627.5

If the quotient is a whole number, then 2 and 27,863,627.5 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 55,727,255
-1 -55,727,255

Now, we try dividing 55,727,255 by 3:

55,727,255 ÷ 3 = 18,575,751.6667

If the quotient is a whole number, then 3 and 18,575,751.6667 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 55,727,255
-1 -55,727,255

Let's try dividing by 4:

55,727,255 ÷ 4 = 13,931,813.75

If the quotient is a whole number, then 4 and 13,931,813.75 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 55,727,255
-1 55,727,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151011635056778153,38516,46368,37782,315110,351341,885551,75511,145,45155,727,255
-1-5-101-163-505-677-815-3,385-16,463-68,377-82,315-110,351-341,885-551,755-11,145,451-55,727,255

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