Q: What are the factor combinations of the number 8,700,335?

 A:
Positive:   1 x 87003355 x 17400677 x 124290535 x 248581331 x 26285751 x 115851655 x 52572317 x 3755
Negative: -1 x -8700335-5 x -1740067-7 x -1242905-35 x -248581-331 x -26285-751 x -11585-1655 x -5257-2317 x -3755


How do I find the factor combinations of the number 8,700,335?

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 8,700,335, 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 8,700,335
-1 -8,700,335

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 8,700,335.

Example:
1 x 8,700,335 = 8,700,335
and
-1 x -8,700,335 = 8,700,335
Notice both answers equal 8,700,335

With that explanation out of the way, let's continue. Next, we take the number 8,700,335 and divide it by 2:

8,700,335 ÷ 2 = 4,350,167.5

If the quotient is a whole number, then 2 and 4,350,167.5 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 8,700,335
-1 -8,700,335

Now, we try dividing 8,700,335 by 3:

8,700,335 ÷ 3 = 2,900,111.6667

If the quotient is a whole number, then 3 and 2,900,111.6667 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 8,700,335
-1 -8,700,335

Let's try dividing by 4:

8,700,335 ÷ 4 = 2,175,083.75

If the quotient is a whole number, then 4 and 2,175,083.75 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 8,700,335
-1 8,700,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157353317511,6552,3173,7555,25711,58526,285248,5811,242,9051,740,0678,700,335
-1-5-7-35-331-751-1,655-2,317-3,755-5,257-11,585-26,285-248,581-1,242,905-1,740,067-8,700,335

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