Q: What are the factor combinations of the number 33,705,425?

 A:
Positive:   1 x 337054255 x 674108513 x 259272525 x 134821765 x 518545137 x 246025325 x 103709685 x 49205757 x 445251781 x 189253425 x 98413785 x 8905
Negative: -1 x -33705425-5 x -6741085-13 x -2592725-25 x -1348217-65 x -518545-137 x -246025-325 x -103709-685 x -49205-757 x -44525-1781 x -18925-3425 x -9841-3785 x -8905


How do I find the factor combinations of the number 33,705,425?

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 33,705,425, 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 33,705,425
-1 -33,705,425

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 33,705,425.

Example:
1 x 33,705,425 = 33,705,425
and
-1 x -33,705,425 = 33,705,425
Notice both answers equal 33,705,425

With that explanation out of the way, let's continue. Next, we take the number 33,705,425 and divide it by 2:

33,705,425 ÷ 2 = 16,852,712.5

If the quotient is a whole number, then 2 and 16,852,712.5 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 33,705,425
-1 -33,705,425

Now, we try dividing 33,705,425 by 3:

33,705,425 ÷ 3 = 11,235,141.6667

If the quotient is a whole number, then 3 and 11,235,141.6667 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 33,705,425
-1 -33,705,425

Let's try dividing by 4:

33,705,425 ÷ 4 = 8,426,356.25

If the quotient is a whole number, then 4 and 8,426,356.25 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 33,705,425
-1 33,705,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651373256857571,7813,4253,7858,9059,84118,92544,52549,205103,709246,025518,5451,348,2172,592,7256,741,08533,705,425
-1-5-13-25-65-137-325-685-757-1,781-3,425-3,785-8,905-9,841-18,925-44,525-49,205-103,709-246,025-518,545-1,348,217-2,592,725-6,741,085-33,705,425

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