Q: What are the factor combinations of the number 188,056,375?

 A:
Positive:   1 x 1880563755 x 3761127513 x 1446587525 x 752225565 x 2893175125 x 1504451325 x 5786351625 x 115727
Negative: -1 x -188056375-5 x -37611275-13 x -14465875-25 x -7522255-65 x -2893175-125 x -1504451-325 x -578635-1625 x -115727


How do I find the factor combinations of the number 188,056,375?

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 188,056,375, 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.

1 188,056,375
-1 -188,056,375

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 188,056,375.

Example:
1 x 188,056,375 = 188,056,375
and
-1 x -188,056,375 = 188,056,375
Notice both answers equal 188,056,375

With that explanation out of the way, let's continue. Next, we take the number 188,056,375 and divide it by 2:

188,056,375 ÷ 2 = 94,028,187.5

If the quotient is a whole number, then 2 and 94,028,187.5 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:

1 188,056,375
-1 -188,056,375

Now, we try dividing 188,056,375 by 3:

188,056,375 ÷ 3 = 62,685,458.3333

If the quotient is a whole number, then 3 and 62,685,458.3333 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:

1 188,056,375
-1 -188,056,375

Let's try dividing by 4:

188,056,375 ÷ 4 = 47,014,093.75

If the quotient is a whole number, then 4 and 47,014,093.75 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:

1 188,056,375
-1 188,056,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,625115,727578,6351,504,4512,893,1757,522,25514,465,87537,611,275188,056,375
-1-5-13-25-65-125-325-1,625-115,727-578,635-1,504,451-2,893,175-7,522,255-14,465,875-37,611,275-188,056,375

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