Q: What are the factor combinations of the number 710,875?

 A:
Positive:   1 x 7108755 x 14217511 x 6462525 x 2843547 x 1512555 x 12925121 x 5875125 x 5687235 x 3025275 x 2585517 x 1375605 x 1175
Negative: -1 x -710875-5 x -142175-11 x -64625-25 x -28435-47 x -15125-55 x -12925-121 x -5875-125 x -5687-235 x -3025-275 x -2585-517 x -1375-605 x -1175


How do I find the factor combinations of the number 710,875?

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 710,875, 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.

1 710,875
-1 -710,875

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 710,875.

Example:
1 x 710,875 = 710,875
and
-1 x -710,875 = 710,875
Notice both answers equal 710,875

With that explanation out of the way, let's continue. Next, we take the number 710,875 and divide it by 2:

710,875 ÷ 2 = 355,437.5

If the quotient is a whole number, then 2 and 355,437.5 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:

1 710,875
-1 -710,875

Now, we try dividing 710,875 by 3:

710,875 ÷ 3 = 236,958.3333

If the quotient is a whole number, then 3 and 236,958.3333 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:

1 710,875
-1 -710,875

Let's try dividing by 4:

710,875 ÷ 4 = 177,718.75

If the quotient is a whole number, then 4 and 177,718.75 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:

1 710,875
-1 710,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15112547551211252352755176051,1751,3752,5853,0255,6875,87512,92515,12528,43564,625142,175710,875
-1-5-11-25-47-55-121-125-235-275-517-605-1,175-1,375-2,585-3,025-5,687-5,875-12,925-15,125-28,435-64,625-142,175-710,875

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