Q: What are the factor combinations of the number 38,500,715?

 A:
Positive:   1 x 385007155 x 770014311 x 350006555 x 700013379 x 1015851847 x 208451895 x 203174169 x 9235
Negative: -1 x -38500715-5 x -7700143-11 x -3500065-55 x -700013-379 x -101585-1847 x -20845-1895 x -20317-4169 x -9235


How do I find the factor combinations of the number 38,500,715?

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 38,500,715, 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 38,500,715
-1 -38,500,715

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 38,500,715.

Example:
1 x 38,500,715 = 38,500,715
and
-1 x -38,500,715 = 38,500,715
Notice both answers equal 38,500,715

With that explanation out of the way, let's continue. Next, we take the number 38,500,715 and divide it by 2:

38,500,715 ÷ 2 = 19,250,357.5

If the quotient is a whole number, then 2 and 19,250,357.5 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 38,500,715
-1 -38,500,715

Now, we try dividing 38,500,715 by 3:

38,500,715 ÷ 3 = 12,833,571.6667

If the quotient is a whole number, then 3 and 12,833,571.6667 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 38,500,715
-1 -38,500,715

Let's try dividing by 4:

38,500,715 ÷ 4 = 9,625,178.75

If the quotient is a whole number, then 4 and 9,625,178.75 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 38,500,715
-1 38,500,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553791,8471,8954,1699,23520,31720,845101,585700,0133,500,0657,700,14338,500,715
-1-5-11-55-379-1,847-1,895-4,169-9,235-20,317-20,845-101,585-700,013-3,500,065-7,700,143-38,500,715

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