Q: What are the factor combinations of the number 33,423,355?

 A:
Positive:   1 x 334233555 x 66846717 x 477476535 x 954953263 x 1270851315 x 254171841 x 181553631 x 9205
Negative: -1 x -33423355-5 x -6684671-7 x -4774765-35 x -954953-263 x -127085-1315 x -25417-1841 x -18155-3631 x -9205


How do I find the factor combinations of the number 33,423,355?

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 33,423,355, 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 33,423,355
-1 -33,423,355

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 33,423,355.

Example:
1 x 33,423,355 = 33,423,355
and
-1 x -33,423,355 = 33,423,355
Notice both answers equal 33,423,355

With that explanation out of the way, let's continue. Next, we take the number 33,423,355 and divide it by 2:

33,423,355 ÷ 2 = 16,711,677.5

If the quotient is a whole number, then 2 and 16,711,677.5 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 33,423,355
-1 -33,423,355

Now, we try dividing 33,423,355 by 3:

33,423,355 ÷ 3 = 11,141,118.3333

If the quotient is a whole number, then 3 and 11,141,118.3333 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 33,423,355
-1 -33,423,355

Let's try dividing by 4:

33,423,355 ÷ 4 = 8,355,838.75

If the quotient is a whole number, then 4 and 8,355,838.75 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 33,423,355
-1 33,423,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157352631,3151,8413,6319,20518,15525,417127,085954,9534,774,7656,684,67133,423,355
-1-5-7-35-263-1,315-1,841-3,631-9,205-18,155-25,417-127,085-954,953-4,774,765-6,684,671-33,423,355

More Examples

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