Q: What are the factor combinations of the number 7,071,875?

 A:
Positive:   1 x 70718755 x 141437525 x 28287531 x 22812573 x 96875125 x 56575155 x 45625365 x 19375625 x 11315775 x 91251825 x 38752263 x 3125
Negative: -1 x -7071875-5 x -1414375-25 x -282875-31 x -228125-73 x -96875-125 x -56575-155 x -45625-365 x -19375-625 x -11315-775 x -9125-1825 x -3875-2263 x -3125


How do I find the factor combinations of the number 7,071,875?

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 7,071,875, 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 7,071,875
-1 -7,071,875

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 7,071,875.

Example:
1 x 7,071,875 = 7,071,875
and
-1 x -7,071,875 = 7,071,875
Notice both answers equal 7,071,875

With that explanation out of the way, let's continue. Next, we take the number 7,071,875 and divide it by 2:

7,071,875 ÷ 2 = 3,535,937.5

If the quotient is a whole number, then 2 and 3,535,937.5 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 7,071,875
-1 -7,071,875

Now, we try dividing 7,071,875 by 3:

7,071,875 ÷ 3 = 2,357,291.6667

If the quotient is a whole number, then 3 and 2,357,291.6667 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 7,071,875
-1 -7,071,875

Let's try dividing by 4:

7,071,875 ÷ 4 = 1,767,968.75

If the quotient is a whole number, then 4 and 1,767,968.75 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 7,071,875
-1 7,071,875
Keep dividing by the next highest number until you cannot divide anymore.

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

152531731251553656257751,8252,2633,1253,8759,12511,31519,37545,62556,57596,875228,125282,8751,414,3757,071,875
-1-5-25-31-73-125-155-365-625-775-1,825-2,263-3,125-3,875-9,125-11,315-19,375-45,625-56,575-96,875-228,125-282,875-1,414,375-7,071,875

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