Q: What are the factor combinations of the number 8,873,875?

 A:
Positive:   1 x 88738755 x 177477525 x 354955125 x 70991
Negative: -1 x -8873875-5 x -1774775-25 x -354955-125 x -70991


How do I find the factor combinations of the number 8,873,875?

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 8,873,875, 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 8,873,875
-1 -8,873,875

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 8,873,875.

Example:
1 x 8,873,875 = 8,873,875
and
-1 x -8,873,875 = 8,873,875
Notice both answers equal 8,873,875

With that explanation out of the way, let's continue. Next, we take the number 8,873,875 and divide it by 2:

8,873,875 ÷ 2 = 4,436,937.5

If the quotient is a whole number, then 2 and 4,436,937.5 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 8,873,875
-1 -8,873,875

Now, we try dividing 8,873,875 by 3:

8,873,875 ÷ 3 = 2,957,958.3333

If the quotient is a whole number, then 3 and 2,957,958.3333 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 8,873,875
-1 -8,873,875

Let's try dividing by 4:

8,873,875 ÷ 4 = 2,218,468.75

If the quotient is a whole number, then 4 and 2,218,468.75 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 8,873,875
-1 8,873,875
Keep dividing by the next highest number until you cannot divide anymore.

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

152512570,991354,9551,774,7758,873,875
-1-5-25-125-70,991-354,955-1,774,775-8,873,875

More Examples

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