Q: What are the factor combinations of the number 3,362,645?

 A:
Positive:   1 x 33626455 x 67252911 x 30569513 x 25866555 x 6113965 x 51733143 x 23515715 x 4703
Negative: -1 x -3362645-5 x -672529-11 x -305695-13 x -258665-55 x -61139-65 x -51733-143 x -23515-715 x -4703


How do I find the factor combinations of the number 3,362,645?

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 3,362,645, 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 3,362,645
-1 -3,362,645

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 3,362,645.

Example:
1 x 3,362,645 = 3,362,645
and
-1 x -3,362,645 = 3,362,645
Notice both answers equal 3,362,645

With that explanation out of the way, let's continue. Next, we take the number 3,362,645 and divide it by 2:

3,362,645 ÷ 2 = 1,681,322.5

If the quotient is a whole number, then 2 and 1,681,322.5 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 3,362,645
-1 -3,362,645

Now, we try dividing 3,362,645 by 3:

3,362,645 ÷ 3 = 1,120,881.6667

If the quotient is a whole number, then 3 and 1,120,881.6667 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 3,362,645
-1 -3,362,645

Let's try dividing by 4:

3,362,645 ÷ 4 = 840,661.25

If the quotient is a whole number, then 4 and 840,661.25 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 3,362,645
-1 3,362,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437154,70323,51551,73361,139258,665305,695672,5293,362,645
-1-5-11-13-55-65-143-715-4,703-23,515-51,733-61,139-258,665-305,695-672,529-3,362,645

More Examples

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