Q: What are the factor combinations of the number 85,029,815?

 A:
Positive:   1 x 850298155 x 1700596313 x 654075547 x 180914565 x 1308151169 x 503135235 x 361829611 x 139165845 x 1006272141 x 397153055 x 278337943 x 10705
Negative: -1 x -85029815-5 x -17005963-13 x -6540755-47 x -1809145-65 x -1308151-169 x -503135-235 x -361829-611 x -139165-845 x -100627-2141 x -39715-3055 x -27833-7943 x -10705


How do I find the factor combinations of the number 85,029,815?

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 85,029,815, 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 85,029,815
-1 -85,029,815

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 85,029,815.

Example:
1 x 85,029,815 = 85,029,815
and
-1 x -85,029,815 = 85,029,815
Notice both answers equal 85,029,815

With that explanation out of the way, let's continue. Next, we take the number 85,029,815 and divide it by 2:

85,029,815 ÷ 2 = 42,514,907.5

If the quotient is a whole number, then 2 and 42,514,907.5 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 85,029,815
-1 -85,029,815

Now, we try dividing 85,029,815 by 3:

85,029,815 ÷ 3 = 28,343,271.6667

If the quotient is a whole number, then 3 and 28,343,271.6667 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 85,029,815
-1 -85,029,815

Let's try dividing by 4:

85,029,815 ÷ 4 = 21,257,453.75

If the quotient is a whole number, then 4 and 21,257,453.75 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 85,029,815
-1 85,029,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151347651692356118452,1413,0557,94310,70527,83339,715100,627139,165361,829503,1351,308,1511,809,1456,540,75517,005,96385,029,815
-1-5-13-47-65-169-235-611-845-2,141-3,055-7,943-10,705-27,833-39,715-100,627-139,165-361,829-503,135-1,308,151-1,809,145-6,540,755-17,005,963-85,029,815

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