Q: What are the factor combinations of the number 85,150,351?

 A:
Positive:   1 x 8515035111 x 774094113 x 655002729 x 2936219143 x 595457319 x 266929377 x 2258634147 x 20533
Negative: -1 x -85150351-11 x -7740941-13 x -6550027-29 x -2936219-143 x -595457-319 x -266929-377 x -225863-4147 x -20533


How do I find the factor combinations of the number 85,150,351?

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 85,150,351, 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 85,150,351
-1 -85,150,351

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 85,150,351.

Example:
1 x 85,150,351 = 85,150,351
and
-1 x -85,150,351 = 85,150,351
Notice both answers equal 85,150,351

With that explanation out of the way, let's continue. Next, we take the number 85,150,351 and divide it by 2:

85,150,351 ÷ 2 = 42,575,175.5

If the quotient is a whole number, then 2 and 42,575,175.5 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 85,150,351
-1 -85,150,351

Now, we try dividing 85,150,351 by 3:

85,150,351 ÷ 3 = 28,383,450.3333

If the quotient is a whole number, then 3 and 28,383,450.3333 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 85,150,351
-1 -85,150,351

Let's try dividing by 4:

85,150,351 ÷ 4 = 21,287,587.75

If the quotient is a whole number, then 4 and 21,287,587.75 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 85,150,351
-1 85,150,351
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291433193774,14720,533225,863266,929595,4572,936,2196,550,0277,740,94185,150,351
-1-11-13-29-143-319-377-4,147-20,533-225,863-266,929-595,457-2,936,219-6,550,027-7,740,941-85,150,351

More Examples

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