Q: What are the factor combinations of the number 37,836,085?

 A:
Positive:   1 x 378360855 x 75672177 x 540515535 x 108103149 x 772165245 x 154433389 x 97265397 x 953051945 x 194531985 x 190612723 x 138952779 x 13615
Negative: -1 x -37836085-5 x -7567217-7 x -5405155-35 x -1081031-49 x -772165-245 x -154433-389 x -97265-397 x -95305-1945 x -19453-1985 x -19061-2723 x -13895-2779 x -13615


How do I find the factor combinations of the number 37,836,085?

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 37,836,085, 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 37,836,085
-1 -37,836,085

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 37,836,085.

Example:
1 x 37,836,085 = 37,836,085
and
-1 x -37,836,085 = 37,836,085
Notice both answers equal 37,836,085

With that explanation out of the way, let's continue. Next, we take the number 37,836,085 and divide it by 2:

37,836,085 ÷ 2 = 18,918,042.5

If the quotient is a whole number, then 2 and 18,918,042.5 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 37,836,085
-1 -37,836,085

Now, we try dividing 37,836,085 by 3:

37,836,085 ÷ 3 = 12,612,028.3333

If the quotient is a whole number, then 3 and 12,612,028.3333 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 37,836,085
-1 -37,836,085

Let's try dividing by 4:

37,836,085 ÷ 4 = 9,459,021.25

If the quotient is a whole number, then 4 and 9,459,021.25 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 37,836,085
-1 37,836,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453893971,9451,9852,7232,77913,61513,89519,06119,45395,30597,265154,433772,1651,081,0315,405,1557,567,21737,836,085
-1-5-7-35-49-245-389-397-1,945-1,985-2,723-2,779-13,615-13,895-19,061-19,453-95,305-97,265-154,433-772,165-1,081,031-5,405,155-7,567,217-37,836,085

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