Q: What are the factor combinations of the number 87,625,735?

 A:
Positive:   1 x 876257355 x 1752514717 x 515445585 x 1030891167 x 524705835 x 1049412839 x 308656173 x 14195
Negative: -1 x -87625735-5 x -17525147-17 x -5154455-85 x -1030891-167 x -524705-835 x -104941-2839 x -30865-6173 x -14195


How do I find the factor combinations of the number 87,625,735?

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 87,625,735, 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 87,625,735
-1 -87,625,735

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 87,625,735.

Example:
1 x 87,625,735 = 87,625,735
and
-1 x -87,625,735 = 87,625,735
Notice both answers equal 87,625,735

With that explanation out of the way, let's continue. Next, we take the number 87,625,735 and divide it by 2:

87,625,735 ÷ 2 = 43,812,867.5

If the quotient is a whole number, then 2 and 43,812,867.5 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 87,625,735
-1 -87,625,735

Now, we try dividing 87,625,735 by 3:

87,625,735 ÷ 3 = 29,208,578.3333

If the quotient is a whole number, then 3 and 29,208,578.3333 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 87,625,735
-1 -87,625,735

Let's try dividing by 4:

87,625,735 ÷ 4 = 21,906,433.75

If the quotient is a whole number, then 4 and 21,906,433.75 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 87,625,735
-1 87,625,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851678352,8396,17314,19530,865104,941524,7051,030,8915,154,45517,525,14787,625,735
-1-5-17-85-167-835-2,839-6,173-14,195-30,865-104,941-524,705-1,030,891-5,154,455-17,525,147-87,625,735

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