Q: What are the factor combinations of the number 138,845,885?

 A:
Positive:   1 x 1388458855 x 2776917717 x 816740541 x 338648585 x 1633481205 x 677297697 x 1992053485 x 39841
Negative: -1 x -138845885-5 x -27769177-17 x -8167405-41 x -3386485-85 x -1633481-205 x -677297-697 x -199205-3485 x -39841


How do I find the factor combinations of the number 138,845,885?

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 138,845,885, 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.

1 138,845,885
-1 -138,845,885

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 138,845,885.

Example:
1 x 138,845,885 = 138,845,885
and
-1 x -138,845,885 = 138,845,885
Notice both answers equal 138,845,885

With that explanation out of the way, let's continue. Next, we take the number 138,845,885 and divide it by 2:

138,845,885 ÷ 2 = 69,422,942.5

If the quotient is a whole number, then 2 and 69,422,942.5 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:

1 138,845,885
-1 -138,845,885

Now, we try dividing 138,845,885 by 3:

138,845,885 ÷ 3 = 46,281,961.6667

If the quotient is a whole number, then 3 and 46,281,961.6667 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:

1 138,845,885
-1 -138,845,885

Let's try dividing by 4:

138,845,885 ÷ 4 = 34,711,471.25

If the quotient is a whole number, then 4 and 34,711,471.25 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:

1 138,845,885
-1 138,845,885
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,48539,841199,205677,2971,633,4813,386,4858,167,40527,769,177138,845,885
-1-5-17-41-85-205-697-3,485-39,841-199,205-677,297-1,633,481-3,386,485-8,167,405-27,769,177-138,845,885

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