Q: What are the factor combinations of the number 787,028,345?

 A:
Positive:   1 x 7870283455 x 15740566917 x 4629578585 x 9259157229 x 34368051145 x 6873613893 x 20216519465 x 40433
Negative: -1 x -787028345-5 x -157405669-17 x -46295785-85 x -9259157-229 x -3436805-1145 x -687361-3893 x -202165-19465 x -40433


How do I find the factor combinations of the number 787,028,345?

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 787,028,345, 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.

1 787,028,345
-1 -787,028,345

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 787,028,345.

Example:
1 x 787,028,345 = 787,028,345
and
-1 x -787,028,345 = 787,028,345
Notice both answers equal 787,028,345

With that explanation out of the way, let's continue. Next, we take the number 787,028,345 and divide it by 2:

787,028,345 ÷ 2 = 393,514,172.5

If the quotient is a whole number, then 2 and 393,514,172.5 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:

1 787,028,345
-1 -787,028,345

Now, we try dividing 787,028,345 by 3:

787,028,345 ÷ 3 = 262,342,781.6667

If the quotient is a whole number, then 3 and 262,342,781.6667 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:

1 787,028,345
-1 -787,028,345

Let's try dividing by 4:

787,028,345 ÷ 4 = 196,757,086.25

If the quotient is a whole number, then 4 and 196,757,086.25 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:

1 787,028,345
-1 787,028,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852291,1453,89319,46540,433202,165687,3613,436,8059,259,15746,295,785157,405,669787,028,345
-1-5-17-85-229-1,145-3,893-19,465-40,433-202,165-687,361-3,436,805-9,259,157-46,295,785-157,405,669-787,028,345

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