Q: What are the factor combinations of the number 785,188,355?

 A:
Positive:   1 x 7851883555 x 1570376717 x 11216976535 x 22433953277 x 28346151385 x 5669231939 x 4049459695 x 80989
Negative: -1 x -785188355-5 x -157037671-7 x -112169765-35 x -22433953-277 x -2834615-1385 x -566923-1939 x -404945-9695 x -80989


How do I find the factor combinations of the number 785,188,355?

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 785,188,355, 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.

1 785,188,355
-1 -785,188,355

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 785,188,355.

Example:
1 x 785,188,355 = 785,188,355
and
-1 x -785,188,355 = 785,188,355
Notice both answers equal 785,188,355

With that explanation out of the way, let's continue. Next, we take the number 785,188,355 and divide it by 2:

785,188,355 ÷ 2 = 392,594,177.5

If the quotient is a whole number, then 2 and 392,594,177.5 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:

1 785,188,355
-1 -785,188,355

Now, we try dividing 785,188,355 by 3:

785,188,355 ÷ 3 = 261,729,451.6667

If the quotient is a whole number, then 3 and 261,729,451.6667 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:

1 785,188,355
-1 -785,188,355

Let's try dividing by 4:

785,188,355 ÷ 4 = 196,297,088.75

If the quotient is a whole number, then 4 and 196,297,088.75 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:

1 785,188,355
-1 785,188,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157352771,3851,9399,69580,989404,945566,9232,834,61522,433,953112,169,765157,037,671785,188,355
-1-5-7-35-277-1,385-1,939-9,695-80,989-404,945-566,923-2,834,615-22,433,953-112,169,765-157,037,671-785,188,355

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