Q: What are the factor combinations of the number 792,275?

 A:
Positive:   1 x 7922755 x 15845511 x 7202525 x 3169143 x 1842555 x 1440567 x 11825215 x 3685275 x 2881335 x 2365473 x 1675737 x 1075
Negative: -1 x -792275-5 x -158455-11 x -72025-25 x -31691-43 x -18425-55 x -14405-67 x -11825-215 x -3685-275 x -2881-335 x -2365-473 x -1675-737 x -1075


How do I find the factor combinations of the number 792,275?

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 792,275, 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.

1 792,275
-1 -792,275

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 792,275.

Example:
1 x 792,275 = 792,275
and
-1 x -792,275 = 792,275
Notice both answers equal 792,275

With that explanation out of the way, let's continue. Next, we take the number 792,275 and divide it by 2:

792,275 ÷ 2 = 396,137.5

If the quotient is a whole number, then 2 and 396,137.5 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:

1 792,275
-1 -792,275

Now, we try dividing 792,275 by 3:

792,275 ÷ 3 = 264,091.6667

If the quotient is a whole number, then 3 and 264,091.6667 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:

1 792,275
-1 -792,275

Let's try dividing by 4:

792,275 ÷ 4 = 198,068.75

If the quotient is a whole number, then 4 and 198,068.75 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:

1 792,275
-1 792,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1511254355672152753354737371,0751,6752,3652,8813,68511,82514,40518,42531,69172,025158,455792,275
-1-5-11-25-43-55-67-215-275-335-473-737-1,075-1,675-2,365-2,881-3,685-11,825-14,405-18,425-31,691-72,025-158,455-792,275

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