Q: What are the factor combinations of the number 777,452,627?

 A:
Positive:   1 x 7774526277 x 11106466131 x 2507911771 x 10950037217 x 3582731497 x 15642912201 x 35322715407 x 50461
Negative: -1 x -777452627-7 x -111064661-31 x -25079117-71 x -10950037-217 x -3582731-497 x -1564291-2201 x -353227-15407 x -50461


How do I find the factor combinations of the number 777,452,627?

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 777,452,627, 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.

1 777,452,627
-1 -777,452,627

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 777,452,627.

Example:
1 x 777,452,627 = 777,452,627
and
-1 x -777,452,627 = 777,452,627
Notice both answers equal 777,452,627

With that explanation out of the way, let's continue. Next, we take the number 777,452,627 and divide it by 2:

777,452,627 ÷ 2 = 388,726,313.5

If the quotient is a whole number, then 2 and 388,726,313.5 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:

1 777,452,627
-1 -777,452,627

Now, we try dividing 777,452,627 by 3:

777,452,627 ÷ 3 = 259,150,875.6667

If the quotient is a whole number, then 3 and 259,150,875.6667 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:

1 777,452,627
-1 -777,452,627

Let's try dividing by 4:

777,452,627 ÷ 4 = 194,363,156.75

If the quotient is a whole number, then 4 and 194,363,156.75 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:

1 777,452,627
-1 777,452,627
Keep dividing by the next highest number until you cannot divide anymore.

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

1731712174972,20115,40750,461353,2271,564,2913,582,73110,950,03725,079,117111,064,661777,452,627
-1-7-31-71-217-497-2,201-15,407-50,461-353,227-1,564,291-3,582,731-10,950,037-25,079,117-111,064,661-777,452,627

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 777,452,627:


Ask a Question