Q: What are the factor combinations of the number 33,159,425?

 A:
Positive:   1 x 331594255 x 663188513 x 255072525 x 132637765 x 510145257 x 129025325 x 102029397 x 835251285 x 258051985 x 167053341 x 99255161 x 6425
Negative: -1 x -33159425-5 x -6631885-13 x -2550725-25 x -1326377-65 x -510145-257 x -129025-325 x -102029-397 x -83525-1285 x -25805-1985 x -16705-3341 x -9925-5161 x -6425


How do I find the factor combinations of the number 33,159,425?

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 33,159,425, 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 33,159,425
-1 -33,159,425

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 33,159,425.

Example:
1 x 33,159,425 = 33,159,425
and
-1 x -33,159,425 = 33,159,425
Notice both answers equal 33,159,425

With that explanation out of the way, let's continue. Next, we take the number 33,159,425 and divide it by 2:

33,159,425 ÷ 2 = 16,579,712.5

If the quotient is a whole number, then 2 and 16,579,712.5 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 33,159,425
-1 -33,159,425

Now, we try dividing 33,159,425 by 3:

33,159,425 ÷ 3 = 11,053,141.6667

If the quotient is a whole number, then 3 and 11,053,141.6667 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 33,159,425
-1 -33,159,425

Let's try dividing by 4:

33,159,425 ÷ 4 = 8,289,856.25

If the quotient is a whole number, then 4 and 8,289,856.25 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 33,159,425
-1 33,159,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151325652573253971,2851,9853,3415,1616,4259,92516,70525,80583,525102,029129,025510,1451,326,3772,550,7256,631,88533,159,425
-1-5-13-25-65-257-325-397-1,285-1,985-3,341-5,161-6,425-9,925-16,705-25,805-83,525-102,029-129,025-510,145-1,326,377-2,550,725-6,631,885-33,159,425

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