Q: What are the factor combinations of the number 770,607,673?

 A:
Positive:   1 x 77060767311 x 7005524359 x 1306114797 x 7944409649 x 11873771067 x 7222195723 x 13465112241 x 62953
Negative: -1 x -770607673-11 x -70055243-59 x -13061147-97 x -7944409-649 x -1187377-1067 x -722219-5723 x -134651-12241 x -62953


How do I find the factor combinations of the number 770,607,673?

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 770,607,673, 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.

1 770,607,673
-1 -770,607,673

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 770,607,673.

Example:
1 x 770,607,673 = 770,607,673
and
-1 x -770,607,673 = 770,607,673
Notice both answers equal 770,607,673

With that explanation out of the way, let's continue. Next, we take the number 770,607,673 and divide it by 2:

770,607,673 ÷ 2 = 385,303,836.5

If the quotient is a whole number, then 2 and 385,303,836.5 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:

1 770,607,673
-1 -770,607,673

Now, we try dividing 770,607,673 by 3:

770,607,673 ÷ 3 = 256,869,224.3333

If the quotient is a whole number, then 3 and 256,869,224.3333 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:

1 770,607,673
-1 -770,607,673

Let's try dividing by 4:

770,607,673 ÷ 4 = 192,651,918.25

If the quotient is a whole number, then 4 and 192,651,918.25 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:

1 770,607,673
-1 770,607,673
Keep dividing by the next highest number until you cannot divide anymore.

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

11159976491,0675,72312,24162,953134,651722,2191,187,3777,944,40913,061,14770,055,243770,607,673
-1-11-59-97-649-1,067-5,723-12,241-62,953-134,651-722,219-1,187,377-7,944,409-13,061,147-70,055,243-770,607,673

More Examples

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