Q: What are the factor combinations of the number 388,075?

 A:
Positive:   1 x 3880755 x 7761519 x 2042525 x 1552343 x 902595 x 4085215 x 1805361 x 1075475 x 817
Negative: -1 x -388075-5 x -77615-19 x -20425-25 x -15523-43 x -9025-95 x -4085-215 x -1805-361 x -1075-475 x -817


How do I find the factor combinations of the number 388,075?

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 388,075, 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.

1 388,075
-1 -388,075

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 388,075.

Example:
1 x 388,075 = 388,075
and
-1 x -388,075 = 388,075
Notice both answers equal 388,075

With that explanation out of the way, let's continue. Next, we take the number 388,075 and divide it by 2:

388,075 ÷ 2 = 194,037.5

If the quotient is a whole number, then 2 and 194,037.5 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:

1 388,075
-1 -388,075

Now, we try dividing 388,075 by 3:

388,075 ÷ 3 = 129,358.3333

If the quotient is a whole number, then 3 and 129,358.3333 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:

1 388,075
-1 -388,075

Let's try dividing by 4:

388,075 ÷ 4 = 97,018.75

If the quotient is a whole number, then 4 and 97,018.75 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:

1 388,075
-1 388,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15192543952153614758171,0751,8054,0859,02515,52320,42577,615388,075
-1-5-19-25-43-95-215-361-475-817-1,075-1,805-4,085-9,025-15,523-20,425-77,615-388,075

More Examples

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