Q: What are the factor combinations of the number 48,133,375?

 A:
Positive:   1 x 481333755 x 962667517 x 283137525 x 192533585 x 566275125 x 385067425 x 1132552125 x 22651
Negative: -1 x -48133375-5 x -9626675-17 x -2831375-25 x -1925335-85 x -566275-125 x -385067-425 x -113255-2125 x -22651


How do I find the factor combinations of the number 48,133,375?

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 48,133,375, 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 48,133,375
-1 -48,133,375

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 48,133,375.

Example:
1 x 48,133,375 = 48,133,375
and
-1 x -48,133,375 = 48,133,375
Notice both answers equal 48,133,375

With that explanation out of the way, let's continue. Next, we take the number 48,133,375 and divide it by 2:

48,133,375 ÷ 2 = 24,066,687.5

If the quotient is a whole number, then 2 and 24,066,687.5 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 48,133,375
-1 -48,133,375

Now, we try dividing 48,133,375 by 3:

48,133,375 ÷ 3 = 16,044,458.3333

If the quotient is a whole number, then 3 and 16,044,458.3333 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 48,133,375
-1 -48,133,375

Let's try dividing by 4:

48,133,375 ÷ 4 = 12,033,343.75

If the quotient is a whole number, then 4 and 12,033,343.75 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 48,133,375
-1 48,133,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12522,651113,255385,067566,2751,925,3352,831,3759,626,67548,133,375
-1-5-17-25-85-125-425-2,125-22,651-113,255-385,067-566,275-1,925,335-2,831,375-9,626,675-48,133,375

More Examples

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