Q: What are the factor combinations of the number 87,374,825?

 A:
Positive:   1 x 873748255 x 1747496519 x 459867525 x 349499329 x 301292595 x 919735145 x 602585475 x 183947551 x 158575725 x 1205172755 x 317156343 x 13775
Negative: -1 x -87374825-5 x -17474965-19 x -4598675-25 x -3494993-29 x -3012925-95 x -919735-145 x -602585-475 x -183947-551 x -158575-725 x -120517-2755 x -31715-6343 x -13775


How do I find the factor combinations of the number 87,374,825?

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 87,374,825, 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 87,374,825
-1 -87,374,825

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 87,374,825.

Example:
1 x 87,374,825 = 87,374,825
and
-1 x -87,374,825 = 87,374,825
Notice both answers equal 87,374,825

With that explanation out of the way, let's continue. Next, we take the number 87,374,825 and divide it by 2:

87,374,825 ÷ 2 = 43,687,412.5

If the quotient is a whole number, then 2 and 43,687,412.5 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 87,374,825
-1 -87,374,825

Now, we try dividing 87,374,825 by 3:

87,374,825 ÷ 3 = 29,124,941.6667

If the quotient is a whole number, then 3 and 29,124,941.6667 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 87,374,825
-1 -87,374,825

Let's try dividing by 4:

87,374,825 ÷ 4 = 21,843,706.25

If the quotient is a whole number, then 4 and 21,843,706.25 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 87,374,825
-1 87,374,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951454755517252,7556,34313,77531,715120,517158,575183,947602,585919,7353,012,9253,494,9934,598,67517,474,96587,374,825
-1-5-19-25-29-95-145-475-551-725-2,755-6,343-13,775-31,715-120,517-158,575-183,947-602,585-919,735-3,012,925-3,494,993-4,598,675-17,474,965-87,374,825

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