Q: What are the factor combinations of the number 38,764,165?

 A:
Positive:   1 x 387641655 x 775283311 x 352401517 x 228024555 x 70480385 x 456049121 x 320365187 x 207295605 x 64073935 x 414592057 x 188453769 x 10285
Negative: -1 x -38764165-5 x -7752833-11 x -3524015-17 x -2280245-55 x -704803-85 x -456049-121 x -320365-187 x -207295-605 x -64073-935 x -41459-2057 x -18845-3769 x -10285


How do I find the factor combinations of the number 38,764,165?

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 38,764,165, 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 38,764,165
-1 -38,764,165

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 38,764,165.

Example:
1 x 38,764,165 = 38,764,165
and
-1 x -38,764,165 = 38,764,165
Notice both answers equal 38,764,165

With that explanation out of the way, let's continue. Next, we take the number 38,764,165 and divide it by 2:

38,764,165 ÷ 2 = 19,382,082.5

If the quotient is a whole number, then 2 and 19,382,082.5 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 38,764,165
-1 -38,764,165

Now, we try dividing 38,764,165 by 3:

38,764,165 ÷ 3 = 12,921,388.3333

If the quotient is a whole number, then 3 and 12,921,388.3333 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 38,764,165
-1 -38,764,165

Let's try dividing by 4:

38,764,165 ÷ 4 = 9,691,041.25

If the quotient is a whole number, then 4 and 9,691,041.25 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 38,764,165
-1 38,764,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851211876059352,0573,76910,28518,84541,45964,073207,295320,365456,049704,8032,280,2453,524,0157,752,83338,764,165
-1-5-11-17-55-85-121-187-605-935-2,057-3,769-10,285-18,845-41,459-64,073-207,295-320,365-456,049-704,803-2,280,245-3,524,015-7,752,833-38,764,165

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