Q: What are the factor combinations of the number 8,717,875?

 A:
Positive:   1 x 87178755 x 174357525 x 34871597 x 89875125 x 69743485 x 17975719 x 121252425 x 3595
Negative: -1 x -8717875-5 x -1743575-25 x -348715-97 x -89875-125 x -69743-485 x -17975-719 x -12125-2425 x -3595


How do I find the factor combinations of the number 8,717,875?

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 8,717,875, 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 8,717,875
-1 -8,717,875

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 8,717,875.

Example:
1 x 8,717,875 = 8,717,875
and
-1 x -8,717,875 = 8,717,875
Notice both answers equal 8,717,875

With that explanation out of the way, let's continue. Next, we take the number 8,717,875 and divide it by 2:

8,717,875 ÷ 2 = 4,358,937.5

If the quotient is a whole number, then 2 and 4,358,937.5 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 8,717,875
-1 -8,717,875

Now, we try dividing 8,717,875 by 3:

8,717,875 ÷ 3 = 2,905,958.3333

If the quotient is a whole number, then 3 and 2,905,958.3333 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 8,717,875
-1 -8,717,875

Let's try dividing by 4:

8,717,875 ÷ 4 = 2,179,468.75

If the quotient is a whole number, then 4 and 2,179,468.75 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 8,717,875
-1 8,717,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525971254857192,4253,59512,12517,97569,74389,875348,7151,743,5758,717,875
-1-5-25-97-125-485-719-2,425-3,595-12,125-17,975-69,743-89,875-348,715-1,743,575-8,717,875

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