Q: What are the factor combinations of the number 68,843,425?

 A:
Positive:   1 x 688434255 x 137686857 x 983477525 x 275373735 x 1966955175 x 393391227 x 3032751135 x 606551589 x 433251733 x 397255675 x 121317945 x 8665
Negative: -1 x -68843425-5 x -13768685-7 x -9834775-25 x -2753737-35 x -1966955-175 x -393391-227 x -303275-1135 x -60655-1589 x -43325-1733 x -39725-5675 x -12131-7945 x -8665


How do I find the factor combinations of the number 68,843,425?

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 68,843,425, 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 68,843,425
-1 -68,843,425

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 68,843,425.

Example:
1 x 68,843,425 = 68,843,425
and
-1 x -68,843,425 = 68,843,425
Notice both answers equal 68,843,425

With that explanation out of the way, let's continue. Next, we take the number 68,843,425 and divide it by 2:

68,843,425 ÷ 2 = 34,421,712.5

If the quotient is a whole number, then 2 and 34,421,712.5 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 68,843,425
-1 -68,843,425

Now, we try dividing 68,843,425 by 3:

68,843,425 ÷ 3 = 22,947,808.3333

If the quotient is a whole number, then 3 and 22,947,808.3333 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 68,843,425
-1 -68,843,425

Let's try dividing by 4:

68,843,425 ÷ 4 = 17,210,856.25

If the quotient is a whole number, then 4 and 17,210,856.25 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 68,843,425
-1 68,843,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752271,1351,5891,7335,6757,9458,66512,13139,72543,32560,655303,275393,3911,966,9552,753,7379,834,77513,768,68568,843,425
-1-5-7-25-35-175-227-1,135-1,589-1,733-5,675-7,945-8,665-12,131-39,725-43,325-60,655-303,275-393,391-1,966,955-2,753,737-9,834,775-13,768,685-68,843,425

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