Q: What are the factor combinations of the number 3,325,133?

 A:
Positive:   1 x 33251337 x 47501919 x 17500723 x 144571133 x 25001161 x 20653437 x 76091087 x 3059
Negative: -1 x -3325133-7 x -475019-19 x -175007-23 x -144571-133 x -25001-161 x -20653-437 x -7609-1087 x -3059


How do I find the factor combinations of the number 3,325,133?

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 3,325,133, 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 3,325,133
-1 -3,325,133

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 3,325,133.

Example:
1 x 3,325,133 = 3,325,133
and
-1 x -3,325,133 = 3,325,133
Notice both answers equal 3,325,133

With that explanation out of the way, let's continue. Next, we take the number 3,325,133 and divide it by 2:

3,325,133 ÷ 2 = 1,662,566.5

If the quotient is a whole number, then 2 and 1,662,566.5 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 3,325,133
-1 -3,325,133

Now, we try dividing 3,325,133 by 3:

3,325,133 ÷ 3 = 1,108,377.6667

If the quotient is a whole number, then 3 and 1,108,377.6667 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 3,325,133
-1 -3,325,133

Let's try dividing by 4:

3,325,133 ÷ 4 = 831,283.25

If the quotient is a whole number, then 4 and 831,283.25 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 3,325,133
-1 3,325,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1719231331614371,0873,0597,60920,65325,001144,571175,007475,0193,325,133
-1-7-19-23-133-161-437-1,087-3,059-7,609-20,653-25,001-144,571-175,007-475,019-3,325,133

More Examples

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