Q: What are the factor combinations of the number 11,777,777?

 A:
Positive:   1 x 1177777711 x 107070719 x 61988347 x 250591109 x 108053121 x 97337209 x 56353517 x 22781893 x 131891199 x 98232071 x 56872299 x 5123
Negative: -1 x -11777777-11 x -1070707-19 x -619883-47 x -250591-109 x -108053-121 x -97337-209 x -56353-517 x -22781-893 x -13189-1199 x -9823-2071 x -5687-2299 x -5123


How do I find the factor combinations of the number 11,777,777?

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 11,777,777, 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 11,777,777
-1 -11,777,777

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 11,777,777.

Example:
1 x 11,777,777 = 11,777,777
and
-1 x -11,777,777 = 11,777,777
Notice both answers equal 11,777,777

With that explanation out of the way, let's continue. Next, we take the number 11,777,777 and divide it by 2:

11,777,777 ÷ 2 = 5,888,888.5

If the quotient is a whole number, then 2 and 5,888,888.5 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 11,777,777
-1 -11,777,777

Now, we try dividing 11,777,777 by 3:

11,777,777 ÷ 3 = 3,925,925.6667

If the quotient is a whole number, then 3 and 3,925,925.6667 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 11,777,777
-1 -11,777,777

Let's try dividing by 4:

11,777,777 ÷ 4 = 2,944,444.25

If the quotient is a whole number, then 4 and 2,944,444.25 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 11,777,777
-1 11,777,777
Keep dividing by the next highest number until you cannot divide anymore.

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

11119471091212095178931,1992,0712,2995,1235,6879,82313,18922,78156,35397,337108,053250,591619,8831,070,70711,777,777
-1-11-19-47-109-121-209-517-893-1,199-2,071-2,299-5,123-5,687-9,823-13,189-22,781-56,353-97,337-108,053-250,591-619,883-1,070,707-11,777,777

More Examples

Here are some more numbers to try:

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