Q: What are the factor combinations of the number 7,847,875?

 A:
Positive:   1 x 78478755 x 15695757 x 112112525 x 31391535 x 224225125 x 62783175 x 44845875 x 8969
Negative: -1 x -7847875-5 x -1569575-7 x -1121125-25 x -313915-35 x -224225-125 x -62783-175 x -44845-875 x -8969


How do I find the factor combinations of the number 7,847,875?

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 7,847,875, 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 7,847,875
-1 -7,847,875

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 7,847,875.

Example:
1 x 7,847,875 = 7,847,875
and
-1 x -7,847,875 = 7,847,875
Notice both answers equal 7,847,875

With that explanation out of the way, let's continue. Next, we take the number 7,847,875 and divide it by 2:

7,847,875 ÷ 2 = 3,923,937.5

If the quotient is a whole number, then 2 and 3,923,937.5 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 7,847,875
-1 -7,847,875

Now, we try dividing 7,847,875 by 3:

7,847,875 ÷ 3 = 2,615,958.3333

If the quotient is a whole number, then 3 and 2,615,958.3333 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 7,847,875
-1 -7,847,875

Let's try dividing by 4:

7,847,875 ÷ 4 = 1,961,968.75

If the quotient is a whole number, then 4 and 1,961,968.75 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 7,847,875
-1 7,847,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758758,96944,84562,783224,225313,9151,121,1251,569,5757,847,875
-1-5-7-25-35-125-175-875-8,969-44,845-62,783-224,225-313,915-1,121,125-1,569,575-7,847,875

More Examples

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