Q: What are the factor combinations of the number 797,525?

 A:
Positive:   1 x 7975255 x 15950519 x 4197523 x 3467525 x 3190173 x 1092595 x 8395115 x 6935365 x 2185437 x 1825475 x 1679575 x 1387
Negative: -1 x -797525-5 x -159505-19 x -41975-23 x -34675-25 x -31901-73 x -10925-95 x -8395-115 x -6935-365 x -2185-437 x -1825-475 x -1679-575 x -1387


How do I find the factor combinations of the number 797,525?

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 797,525, 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.

1 797,525
-1 -797,525

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 797,525.

Example:
1 x 797,525 = 797,525
and
-1 x -797,525 = 797,525
Notice both answers equal 797,525

With that explanation out of the way, let's continue. Next, we take the number 797,525 and divide it by 2:

797,525 ÷ 2 = 398,762.5

If the quotient is a whole number, then 2 and 398,762.5 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:

1 797,525
-1 -797,525

Now, we try dividing 797,525 by 3:

797,525 ÷ 3 = 265,841.6667

If the quotient is a whole number, then 3 and 265,841.6667 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:

1 797,525
-1 -797,525

Let's try dividing by 4:

797,525 ÷ 4 = 199,381.25

If the quotient is a whole number, then 4 and 199,381.25 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:

1 797,525
-1 797,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1519232573951153654374755751,3871,6791,8252,1856,9358,39510,92531,90134,67541,975159,505797,525
-1-5-19-23-25-73-95-115-365-437-475-575-1,387-1,679-1,825-2,185-6,935-8,395-10,925-31,901-34,675-41,975-159,505-797,525

More Examples

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