Q: What are the factor combinations of the number 716,975?

 A:
Positive:   1 x 7169755 x 1433957 x 10242517 x 4217525 x 2867935 x 2048585 x 8435119 x 6025175 x 4097241 x 2975425 x 1687595 x 1205
Negative: -1 x -716975-5 x -143395-7 x -102425-17 x -42175-25 x -28679-35 x -20485-85 x -8435-119 x -6025-175 x -4097-241 x -2975-425 x -1687-595 x -1205


How do I find the factor combinations of the number 716,975?

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 716,975, 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.

1 716,975
-1 -716,975

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 716,975.

Example:
1 x 716,975 = 716,975
and
-1 x -716,975 = 716,975
Notice both answers equal 716,975

With that explanation out of the way, let's continue. Next, we take the number 716,975 and divide it by 2:

716,975 ÷ 2 = 358,487.5

If the quotient is a whole number, then 2 and 358,487.5 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:

1 716,975
-1 -716,975

Now, we try dividing 716,975 by 3:

716,975 ÷ 3 = 238,991.6667

If the quotient is a whole number, then 3 and 238,991.6667 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:

1 716,975
-1 -716,975

Let's try dividing by 4:

716,975 ÷ 4 = 179,243.75

If the quotient is a whole number, then 4 and 179,243.75 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:

1 716,975
-1 716,975
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191752414255951,2051,6872,9754,0976,0258,43520,48528,67942,175102,425143,395716,975
-1-5-7-17-25-35-85-119-175-241-425-595-1,205-1,687-2,975-4,097-6,025-8,435-20,485-28,679-42,175-102,425-143,395-716,975

More Examples

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