Q: What are the factor combinations of the number 376,344,187?

 A:
Positive:   1 x 376344187367 x 1025461787 x 4782011303 x 288829
Negative: -1 x -376344187-367 x -1025461-787 x -478201-1303 x -288829


How do I find the factor combinations of the number 376,344,187?

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 376,344,187, 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.

1 376,344,187
-1 -376,344,187

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 376,344,187.

Example:
1 x 376,344,187 = 376,344,187
and
-1 x -376,344,187 = 376,344,187
Notice both answers equal 376,344,187

With that explanation out of the way, let's continue. Next, we take the number 376,344,187 and divide it by 2:

376,344,187 ÷ 2 = 188,172,093.5

If the quotient is a whole number, then 2 and 188,172,093.5 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:

1 376,344,187
-1 -376,344,187

Now, we try dividing 376,344,187 by 3:

376,344,187 ÷ 3 = 125,448,062.3333

If the quotient is a whole number, then 3 and 125,448,062.3333 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:

1 376,344,187
-1 -376,344,187

Let's try dividing by 4:

376,344,187 ÷ 4 = 94,086,046.75

If the quotient is a whole number, then 4 and 94,086,046.75 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:

1 376,344,187
-1 376,344,187
Keep dividing by the next highest number until you cannot divide anymore.

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

13677871,303288,829478,2011,025,461376,344,187
-1-367-787-1,303-288,829-478,201-1,025,461-376,344,187

More Examples

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