Q: What are the factor combinations of the number 187,825,165?

 A:
Positive:   1 x 1878251655 x 3756503311 x 1707501519 x 988553555 x 341500395 x 1977107209 x 8986851045 x 179737
Negative: -1 x -187825165-5 x -37565033-11 x -17075015-19 x -9885535-55 x -3415003-95 x -1977107-209 x -898685-1045 x -179737


How do I find the factor combinations of the number 187,825,165?

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 187,825,165, 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.

1 187,825,165
-1 -187,825,165

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 187,825,165.

Example:
1 x 187,825,165 = 187,825,165
and
-1 x -187,825,165 = 187,825,165
Notice both answers equal 187,825,165

With that explanation out of the way, let's continue. Next, we take the number 187,825,165 and divide it by 2:

187,825,165 ÷ 2 = 93,912,582.5

If the quotient is a whole number, then 2 and 93,912,582.5 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:

1 187,825,165
-1 -187,825,165

Now, we try dividing 187,825,165 by 3:

187,825,165 ÷ 3 = 62,608,388.3333

If the quotient is a whole number, then 3 and 62,608,388.3333 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:

1 187,825,165
-1 -187,825,165

Let's try dividing by 4:

187,825,165 ÷ 4 = 46,956,291.25

If the quotient is a whole number, then 4 and 46,956,291.25 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:

1 187,825,165
-1 187,825,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045179,737898,6851,977,1073,415,0039,885,53517,075,01537,565,033187,825,165
-1-5-11-19-55-95-209-1,045-179,737-898,685-1,977,107-3,415,003-9,885,535-17,075,015-37,565,033-187,825,165

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