Q: What are the factor combinations of the number 38,038,585?

 A:
Positive:   1 x 380385855 x 760771713 x 292604565 x 585209761 x 49985769 x 494653805 x 99973845 x 9893
Negative: -1 x -38038585-5 x -7607717-13 x -2926045-65 x -585209-761 x -49985-769 x -49465-3805 x -9997-3845 x -9893


How do I find the factor combinations of the number 38,038,585?

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 38,038,585, 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 38,038,585
-1 -38,038,585

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 38,038,585.

Example:
1 x 38,038,585 = 38,038,585
and
-1 x -38,038,585 = 38,038,585
Notice both answers equal 38,038,585

With that explanation out of the way, let's continue. Next, we take the number 38,038,585 and divide it by 2:

38,038,585 ÷ 2 = 19,019,292.5

If the quotient is a whole number, then 2 and 19,019,292.5 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 38,038,585
-1 -38,038,585

Now, we try dividing 38,038,585 by 3:

38,038,585 ÷ 3 = 12,679,528.3333

If the quotient is a whole number, then 3 and 12,679,528.3333 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 38,038,585
-1 -38,038,585

Let's try dividing by 4:

38,038,585 ÷ 4 = 9,509,646.25

If the quotient is a whole number, then 4 and 9,509,646.25 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 38,038,585
-1 38,038,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1513657617693,8053,8459,8939,99749,46549,985585,2092,926,0457,607,71738,038,585
-1-5-13-65-761-769-3,805-3,845-9,893-9,997-49,465-49,985-585,209-2,926,045-7,607,717-38,038,585

More Examples

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