Q: What are the factor combinations of the number 85,308,625?

 A:
Positive:   1 x 853086255 x 1706172525 x 3412345125 x 682469251 x 3398751255 x 679752719 x 313756275 x 13595
Negative: -1 x -85308625-5 x -17061725-25 x -3412345-125 x -682469-251 x -339875-1255 x -67975-2719 x -31375-6275 x -13595


How do I find the factor combinations of the number 85,308,625?

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 85,308,625, 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 85,308,625
-1 -85,308,625

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 85,308,625.

Example:
1 x 85,308,625 = 85,308,625
and
-1 x -85,308,625 = 85,308,625
Notice both answers equal 85,308,625

With that explanation out of the way, let's continue. Next, we take the number 85,308,625 and divide it by 2:

85,308,625 ÷ 2 = 42,654,312.5

If the quotient is a whole number, then 2 and 42,654,312.5 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 85,308,625
-1 -85,308,625

Now, we try dividing 85,308,625 by 3:

85,308,625 ÷ 3 = 28,436,208.3333

If the quotient is a whole number, then 3 and 28,436,208.3333 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 85,308,625
-1 -85,308,625

Let's try dividing by 4:

85,308,625 ÷ 4 = 21,327,156.25

If the quotient is a whole number, then 4 and 21,327,156.25 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 85,308,625
-1 85,308,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252511,2552,7196,27513,59531,37567,975339,875682,4693,412,34517,061,72585,308,625
-1-5-25-125-251-1,255-2,719-6,275-13,595-31,375-67,975-339,875-682,469-3,412,345-17,061,725-85,308,625

More Examples

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