Q: What are the factor combinations of the number 764,165,155?

 A:
Positive:   1 x 7641651555 x 15283303113 x 5878193565 x 11756387431 x 17730052155 x 3546015603 x 13638527277 x 28015
Negative: -1 x -764165155-5 x -152833031-13 x -58781935-65 x -11756387-431 x -1773005-2155 x -354601-5603 x -136385-27277 x -28015


How do I find the factor combinations of the number 764,165,155?

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 764,165,155, 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.

1 764,165,155
-1 -764,165,155

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 764,165,155.

Example:
1 x 764,165,155 = 764,165,155
and
-1 x -764,165,155 = 764,165,155
Notice both answers equal 764,165,155

With that explanation out of the way, let's continue. Next, we take the number 764,165,155 and divide it by 2:

764,165,155 ÷ 2 = 382,082,577.5

If the quotient is a whole number, then 2 and 382,082,577.5 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:

1 764,165,155
-1 -764,165,155

Now, we try dividing 764,165,155 by 3:

764,165,155 ÷ 3 = 254,721,718.3333

If the quotient is a whole number, then 3 and 254,721,718.3333 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:

1 764,165,155
-1 -764,165,155

Let's try dividing by 4:

764,165,155 ÷ 4 = 191,041,288.75

If the quotient is a whole number, then 4 and 191,041,288.75 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:

1 764,165,155
-1 764,165,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654312,1555,60327,27728,015136,385354,6011,773,00511,756,38758,781,935152,833,031764,165,155
-1-5-13-65-431-2,155-5,603-27,277-28,015-136,385-354,601-1,773,005-11,756,387-58,781,935-152,833,031-764,165,155

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