Q: What are the factor combinations of the number 3,316,105?

 A:
Positive:   1 x 33161055 x 66322113 x 25508517 x 19506565 x 5101785 x 39013221 x 150051105 x 3001
Negative: -1 x -3316105-5 x -663221-13 x -255085-17 x -195065-65 x -51017-85 x -39013-221 x -15005-1105 x -3001


How do I find the factor combinations of the number 3,316,105?

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 3,316,105, 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 3,316,105
-1 -3,316,105

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 3,316,105.

Example:
1 x 3,316,105 = 3,316,105
and
-1 x -3,316,105 = 3,316,105
Notice both answers equal 3,316,105

With that explanation out of the way, let's continue. Next, we take the number 3,316,105 and divide it by 2:

3,316,105 ÷ 2 = 1,658,052.5

If the quotient is a whole number, then 2 and 1,658,052.5 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 3,316,105
-1 -3,316,105

Now, we try dividing 3,316,105 by 3:

3,316,105 ÷ 3 = 1,105,368.3333

If the quotient is a whole number, then 3 and 1,105,368.3333 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 3,316,105
-1 -3,316,105

Let's try dividing by 4:

3,316,105 ÷ 4 = 829,026.25

If the quotient is a whole number, then 4 and 829,026.25 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 3,316,105
-1 3,316,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,1053,00115,00539,01351,017195,065255,085663,2213,316,105
-1-5-13-17-65-85-221-1,105-3,001-15,005-39,013-51,017-195,065-255,085-663,221-3,316,105

More Examples

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