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

 A:
Positive:   1 x 3761877 x 5374161 x 6167427 x 881
Negative: -1 x -376187-7 x -53741-61 x -6167-427 x -881


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

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 376,187, 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.

1 376,187
-1 -376,187

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 376,187.

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

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

376,187 ÷ 2 = 188,093.5

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

1 376,187
-1 -376,187

Now, we try dividing 376,187 by 3:

376,187 ÷ 3 = 125,395.6667

If the quotient is a whole number, then 3 and 125,395.6667 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:

1 376,187
-1 -376,187

Let's try dividing by 4:

376,187 ÷ 4 = 94,046.75

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

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

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

17614278816,16753,741376,187
-1-7-61-427-881-6,167-53,741-376,187

More Examples

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