Q: What are the factor combinations of the number 6,725,675?

 A:
Positive:   1 x 67256755 x 134513511 x 61142525 x 26902737 x 18177555 x 122285185 x 36355275 x 24457407 x 16525661 x 10175925 x 72712035 x 3305
Negative: -1 x -6725675-5 x -1345135-11 x -611425-25 x -269027-37 x -181775-55 x -122285-185 x -36355-275 x -24457-407 x -16525-661 x -10175-925 x -7271-2035 x -3305


How do I find the factor combinations of the number 6,725,675?

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 6,725,675, 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 6,725,675
-1 -6,725,675

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 6,725,675.

Example:
1 x 6,725,675 = 6,725,675
and
-1 x -6,725,675 = 6,725,675
Notice both answers equal 6,725,675

With that explanation out of the way, let's continue. Next, we take the number 6,725,675 and divide it by 2:

6,725,675 ÷ 2 = 3,362,837.5

If the quotient is a whole number, then 2 and 3,362,837.5 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 6,725,675
-1 -6,725,675

Now, we try dividing 6,725,675 by 3:

6,725,675 ÷ 3 = 2,241,891.6667

If the quotient is a whole number, then 3 and 2,241,891.6667 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 6,725,675
-1 -6,725,675

Let's try dividing by 4:

6,725,675 ÷ 4 = 1,681,418.75

If the quotient is a whole number, then 4 and 1,681,418.75 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 6,725,675
-1 6,725,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551852754076619252,0353,3057,27110,17516,52524,45736,355122,285181,775269,027611,4251,345,1356,725,675
-1-5-11-25-37-55-185-275-407-661-925-2,035-3,305-7,271-10,175-16,525-24,457-36,355-122,285-181,775-269,027-611,425-1,345,135-6,725,675

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