Q: What are the factor combinations of the number 38,215,915?

 A:
Positive:   1 x 382159155 x 764318317 x 224799553 x 72105585 x 449599265 x 144211289 x 132235499 x 76585901 x 424151445 x 264472495 x 153174505 x 8483
Negative: -1 x -38215915-5 x -7643183-17 x -2247995-53 x -721055-85 x -449599-265 x -144211-289 x -132235-499 x -76585-901 x -42415-1445 x -26447-2495 x -15317-4505 x -8483


How do I find the factor combinations of the number 38,215,915?

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 38,215,915, 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 38,215,915
-1 -38,215,915

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 38,215,915.

Example:
1 x 38,215,915 = 38,215,915
and
-1 x -38,215,915 = 38,215,915
Notice both answers equal 38,215,915

With that explanation out of the way, let's continue. Next, we take the number 38,215,915 and divide it by 2:

38,215,915 ÷ 2 = 19,107,957.5

If the quotient is a whole number, then 2 and 19,107,957.5 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 38,215,915
-1 -38,215,915

Now, we try dividing 38,215,915 by 3:

38,215,915 ÷ 3 = 12,738,638.3333

If the quotient is a whole number, then 3 and 12,738,638.3333 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 38,215,915
-1 -38,215,915

Let's try dividing by 4:

38,215,915 ÷ 4 = 9,553,978.75

If the quotient is a whole number, then 4 and 9,553,978.75 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 38,215,915
-1 38,215,915
Keep dividing by the next highest number until you cannot divide anymore.

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

151753852652894999011,4452,4954,5058,48315,31726,44742,41576,585132,235144,211449,599721,0552,247,9957,643,18338,215,915
-1-5-17-53-85-265-289-499-901-1,445-2,495-4,505-8,483-15,317-26,447-42,415-76,585-132,235-144,211-449,599-721,055-2,247,995-7,643,183-38,215,915

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