Q: What are the factor combinations of the number 89,026,075?

 A:
Positive:   1 x 890260755 x 1780521525 x 3561043193 x 461275965 x 922554825 x 18451
Negative: -1 x -89026075-5 x -17805215-25 x -3561043-193 x -461275-965 x -92255-4825 x -18451


How do I find the factor combinations of the number 89,026,075?

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 89,026,075, 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 89,026,075
-1 -89,026,075

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 89,026,075.

Example:
1 x 89,026,075 = 89,026,075
and
-1 x -89,026,075 = 89,026,075
Notice both answers equal 89,026,075

With that explanation out of the way, let's continue. Next, we take the number 89,026,075 and divide it by 2:

89,026,075 ÷ 2 = 44,513,037.5

If the quotient is a whole number, then 2 and 44,513,037.5 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 89,026,075
-1 -89,026,075

Now, we try dividing 89,026,075 by 3:

89,026,075 ÷ 3 = 29,675,358.3333

If the quotient is a whole number, then 3 and 29,675,358.3333 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 89,026,075
-1 -89,026,075

Let's try dividing by 4:

89,026,075 ÷ 4 = 22,256,518.75

If the quotient is a whole number, then 4 and 22,256,518.75 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 89,026,075
-1 89,026,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15251939654,82518,45192,255461,2753,561,04317,805,21589,026,075
-1-5-25-193-965-4,825-18,451-92,255-461,275-3,561,043-17,805,215-89,026,075

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