Q: What are the factor combinations of the number 770,607,365?

 A:
Positive:   1 x 7706073655 x 15412147311 x 7005521517 x 4532984555 x 1401104385 x 9065969187 x 4120895935 x 824179
Negative: -1 x -770607365-5 x -154121473-11 x -70055215-17 x -45329845-55 x -14011043-85 x -9065969-187 x -4120895-935 x -824179


How do I find the factor combinations of the number 770,607,365?

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 770,607,365, 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.

1 770,607,365
-1 -770,607,365

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 770,607,365.

Example:
1 x 770,607,365 = 770,607,365
and
-1 x -770,607,365 = 770,607,365
Notice both answers equal 770,607,365

With that explanation out of the way, let's continue. Next, we take the number 770,607,365 and divide it by 2:

770,607,365 ÷ 2 = 385,303,682.5

If the quotient is a whole number, then 2 and 385,303,682.5 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:

1 770,607,365
-1 -770,607,365

Now, we try dividing 770,607,365 by 3:

770,607,365 ÷ 3 = 256,869,121.6667

If the quotient is a whole number, then 3 and 256,869,121.6667 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:

1 770,607,365
-1 -770,607,365

Let's try dividing by 4:

770,607,365 ÷ 4 = 192,651,841.25

If the quotient is a whole number, then 4 and 192,651,841.25 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:

1 770,607,365
-1 770,607,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935824,1794,120,8959,065,96914,011,04345,329,84570,055,215154,121,473770,607,365
-1-5-11-17-55-85-187-935-824,179-4,120,895-9,065,969-14,011,043-45,329,845-70,055,215-154,121,473-770,607,365

More Examples

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