Q: What are the factor combinations of the number 6,874,375?

 A:
Positive:   1 x 68743755 x 137487517 x 40437525 x 27497585 x 80875125 x 54995425 x 16175625 x 10999647 x 106252125 x 3235
Negative: -1 x -6874375-5 x -1374875-17 x -404375-25 x -274975-85 x -80875-125 x -54995-425 x -16175-625 x -10999-647 x -10625-2125 x -3235


How do I find the factor combinations of the number 6,874,375?

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 6,874,375, 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 6,874,375
-1 -6,874,375

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 6,874,375.

Example:
1 x 6,874,375 = 6,874,375
and
-1 x -6,874,375 = 6,874,375
Notice both answers equal 6,874,375

With that explanation out of the way, let's continue. Next, we take the number 6,874,375 and divide it by 2:

6,874,375 ÷ 2 = 3,437,187.5

If the quotient is a whole number, then 2 and 3,437,187.5 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 6,874,375
-1 -6,874,375

Now, we try dividing 6,874,375 by 3:

6,874,375 ÷ 3 = 2,291,458.3333

If the quotient is a whole number, then 3 and 2,291,458.3333 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 6,874,375
-1 -6,874,375

Let's try dividing by 4:

6,874,375 ÷ 4 = 1,718,593.75

If the quotient is a whole number, then 4 and 1,718,593.75 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 6,874,375
-1 6,874,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254256256472,1253,23510,62510,99916,17554,99580,875274,975404,3751,374,8756,874,375
-1-5-17-25-85-125-425-625-647-2,125-3,235-10,625-10,999-16,175-54,995-80,875-274,975-404,375-1,374,875-6,874,375

More Examples

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