Q: What are the factor combinations of the number 6,846,875?

 A:
Positive:   1 x 68468755 x 13693757 x 97812525 x 27387535 x 195625125 x 54775175 x 39125313 x 21875625 x 10955875 x 78251565 x 43752191 x 3125
Negative: -1 x -6846875-5 x -1369375-7 x -978125-25 x -273875-35 x -195625-125 x -54775-175 x -39125-313 x -21875-625 x -10955-875 x -7825-1565 x -4375-2191 x -3125


How do I find the factor combinations of the number 6,846,875?

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 6,846,875, 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 6,846,875
-1 -6,846,875

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 6,846,875.

Example:
1 x 6,846,875 = 6,846,875
and
-1 x -6,846,875 = 6,846,875
Notice both answers equal 6,846,875

With that explanation out of the way, let's continue. Next, we take the number 6,846,875 and divide it by 2:

6,846,875 ÷ 2 = 3,423,437.5

If the quotient is a whole number, then 2 and 3,423,437.5 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 6,846,875
-1 -6,846,875

Now, we try dividing 6,846,875 by 3:

6,846,875 ÷ 3 = 2,282,291.6667

If the quotient is a whole number, then 3 and 2,282,291.6667 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 6,846,875
-1 -6,846,875

Let's try dividing by 4:

6,846,875 ÷ 4 = 1,711,718.75

If the quotient is a whole number, then 4 and 1,711,718.75 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 6,846,875
-1 6,846,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251753136258751,5652,1913,1254,3757,82510,95521,87539,12554,775195,625273,875978,1251,369,3756,846,875
-1-5-7-25-35-125-175-313-625-875-1,565-2,191-3,125-4,375-7,825-10,955-21,875-39,125-54,775-195,625-273,875-978,125-1,369,375-6,846,875

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