Q: What are the factor combinations of the number 764,750,567?

 A:
Positive:   1 x 7647505677 x 10925008189 x 8592703541 x 1413587623 x 12275292269 x 3370433787 x 20194115883 x 48149
Negative: -1 x -764750567-7 x -109250081-89 x -8592703-541 x -1413587-623 x -1227529-2269 x -337043-3787 x -201941-15883 x -48149


How do I find the factor combinations of the number 764,750,567?

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 764,750,567, 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.

1 764,750,567
-1 -764,750,567

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 764,750,567.

Example:
1 x 764,750,567 = 764,750,567
and
-1 x -764,750,567 = 764,750,567
Notice both answers equal 764,750,567

With that explanation out of the way, let's continue. Next, we take the number 764,750,567 and divide it by 2:

764,750,567 ÷ 2 = 382,375,283.5

If the quotient is a whole number, then 2 and 382,375,283.5 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:

1 764,750,567
-1 -764,750,567

Now, we try dividing 764,750,567 by 3:

764,750,567 ÷ 3 = 254,916,855.6667

If the quotient is a whole number, then 3 and 254,916,855.6667 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:

1 764,750,567
-1 -764,750,567

Let's try dividing by 4:

764,750,567 ÷ 4 = 191,187,641.75

If the quotient is a whole number, then 4 and 191,187,641.75 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:

1 764,750,567
-1 764,750,567
Keep dividing by the next highest number until you cannot divide anymore.

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

17895416232,2693,78715,88348,149201,941337,0431,227,5291,413,5878,592,703109,250,081764,750,567
-1-7-89-541-623-2,269-3,787-15,883-48,149-201,941-337,043-1,227,529-1,413,587-8,592,703-109,250,081-764,750,567

More Examples

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