Q: What are the factor combinations of the number 32,093,425?

 A:
Positive:   1 x 320934255 x 64186857 x 458477513 x 246872525 x 128373735 x 91695565 x 49374591 x 352675175 x 183391325 x 98749455 x 705352275 x 14107
Negative: -1 x -32093425-5 x -6418685-7 x -4584775-13 x -2468725-25 x -1283737-35 x -916955-65 x -493745-91 x -352675-175 x -183391-325 x -98749-455 x -70535-2275 x -14107


How do I find the factor combinations of the number 32,093,425?

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 32,093,425, 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 32,093,425
-1 -32,093,425

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 32,093,425.

Example:
1 x 32,093,425 = 32,093,425
and
-1 x -32,093,425 = 32,093,425
Notice both answers equal 32,093,425

With that explanation out of the way, let's continue. Next, we take the number 32,093,425 and divide it by 2:

32,093,425 ÷ 2 = 16,046,712.5

If the quotient is a whole number, then 2 and 16,046,712.5 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 32,093,425
-1 -32,093,425

Now, we try dividing 32,093,425 by 3:

32,093,425 ÷ 3 = 10,697,808.3333

If the quotient is a whole number, then 3 and 10,697,808.3333 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 32,093,425
-1 -32,093,425

Let's try dividing by 4:

32,093,425 ÷ 4 = 8,023,356.25

If the quotient is a whole number, then 4 and 8,023,356.25 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 32,093,425
-1 32,093,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,27514,10770,53598,749183,391352,675493,745916,9551,283,7372,468,7254,584,7756,418,68532,093,425
-1-5-7-13-25-35-65-91-175-325-455-2,275-14,107-70,535-98,749-183,391-352,675-493,745-916,955-1,283,737-2,468,725-4,584,775-6,418,685-32,093,425

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