Q: What are the factor combinations of the number 764,575?

 A:
Positive:   1 x 7645755 x 1529157 x 10922517 x 4497525 x 3058335 x 2184585 x 8995119 x 6425175 x 4369257 x 2975425 x 1799595 x 1285
Negative: -1 x -764575-5 x -152915-7 x -109225-17 x -44975-25 x -30583-35 x -21845-85 x -8995-119 x -6425-175 x -4369-257 x -2975-425 x -1799-595 x -1285


How do I find the factor combinations of the number 764,575?

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 764,575, 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.

1 764,575
-1 -764,575

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 764,575.

Example:
1 x 764,575 = 764,575
and
-1 x -764,575 = 764,575
Notice both answers equal 764,575

With that explanation out of the way, let's continue. Next, we take the number 764,575 and divide it by 2:

764,575 ÷ 2 = 382,287.5

If the quotient is a whole number, then 2 and 382,287.5 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:

1 764,575
-1 -764,575

Now, we try dividing 764,575 by 3:

764,575 ÷ 3 = 254,858.3333

If the quotient is a whole number, then 3 and 254,858.3333 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:

1 764,575
-1 -764,575

Let's try dividing by 4:

764,575 ÷ 4 = 191,143.75

If the quotient is a whole number, then 4 and 191,143.75 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:

1 764,575
-1 764,575
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191752574255951,2851,7992,9754,3696,4258,99521,84530,58344,975109,225152,915764,575
-1-5-7-17-25-35-85-119-175-257-425-595-1,285-1,799-2,975-4,369-6,425-8,995-21,845-30,583-44,975-109,225-152,915-764,575

More Examples

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