Q: What are the factor combinations of the number 33,363,869?

 A:
Positive:   1 x 333638697 x 476626711 x 303307923 x 145060377 x 433297161 x 207229253 x 1318731771 x 18839
Negative: -1 x -33363869-7 x -4766267-11 x -3033079-23 x -1450603-77 x -433297-161 x -207229-253 x -131873-1771 x -18839


How do I find the factor combinations of the number 33,363,869?

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 33,363,869, 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 33,363,869
-1 -33,363,869

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 33,363,869.

Example:
1 x 33,363,869 = 33,363,869
and
-1 x -33,363,869 = 33,363,869
Notice both answers equal 33,363,869

With that explanation out of the way, let's continue. Next, we take the number 33,363,869 and divide it by 2:

33,363,869 ÷ 2 = 16,681,934.5

If the quotient is a whole number, then 2 and 16,681,934.5 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 33,363,869
-1 -33,363,869

Now, we try dividing 33,363,869 by 3:

33,363,869 ÷ 3 = 11,121,289.6667

If the quotient is a whole number, then 3 and 11,121,289.6667 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 33,363,869
-1 -33,363,869

Let's try dividing by 4:

33,363,869 ÷ 4 = 8,340,967.25

If the quotient is a whole number, then 4 and 8,340,967.25 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 33,363,869
-1 33,363,869
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,77118,839131,873207,229433,2971,450,6033,033,0794,766,26733,363,869
-1-7-11-23-77-161-253-1,771-18,839-131,873-207,229-433,297-1,450,603-3,033,079-4,766,267-33,363,869

More Examples

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