Q: What are the factor combinations of the number 38,112,815?

 A:
Positive:   1 x 381128155 x 762256313 x 293175529 x 131423565 x 586351145 x 262847377 x 1010951885 x 20219
Negative: -1 x -38112815-5 x -7622563-13 x -2931755-29 x -1314235-65 x -586351-145 x -262847-377 x -101095-1885 x -20219


How do I find the factor combinations of the number 38,112,815?

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 38,112,815, 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 38,112,815
-1 -38,112,815

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 38,112,815.

Example:
1 x 38,112,815 = 38,112,815
and
-1 x -38,112,815 = 38,112,815
Notice both answers equal 38,112,815

With that explanation out of the way, let's continue. Next, we take the number 38,112,815 and divide it by 2:

38,112,815 ÷ 2 = 19,056,407.5

If the quotient is a whole number, then 2 and 19,056,407.5 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 38,112,815
-1 -38,112,815

Now, we try dividing 38,112,815 by 3:

38,112,815 ÷ 3 = 12,704,271.6667

If the quotient is a whole number, then 3 and 12,704,271.6667 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 38,112,815
-1 -38,112,815

Let's try dividing by 4:

38,112,815 ÷ 4 = 9,528,203.75

If the quotient is a whole number, then 4 and 9,528,203.75 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 38,112,815
-1 38,112,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,88520,219101,095262,847586,3511,314,2352,931,7557,622,56338,112,815
-1-5-13-29-65-145-377-1,885-20,219-101,095-262,847-586,351-1,314,235-2,931,755-7,622,563-38,112,815

More Examples

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