Q: What are the factor combinations of the number 3,683,849?

 A:
Positive:   1 x 368384913 x 28337317 x 21669779 x 46631211 x 17459221 x 166691027 x 35871343 x 2743
Negative: -1 x -3683849-13 x -283373-17 x -216697-79 x -46631-211 x -17459-221 x -16669-1027 x -3587-1343 x -2743


How do I find the factor combinations of the number 3,683,849?

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 3,683,849, 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 3,683,849
-1 -3,683,849

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 3,683,849.

Example:
1 x 3,683,849 = 3,683,849
and
-1 x -3,683,849 = 3,683,849
Notice both answers equal 3,683,849

With that explanation out of the way, let's continue. Next, we take the number 3,683,849 and divide it by 2:

3,683,849 ÷ 2 = 1,841,924.5

If the quotient is a whole number, then 2 and 1,841,924.5 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 3,683,849
-1 -3,683,849

Now, we try dividing 3,683,849 by 3:

3,683,849 ÷ 3 = 1,227,949.6667

If the quotient is a whole number, then 3 and 1,227,949.6667 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 3,683,849
-1 -3,683,849

Let's try dividing by 4:

3,683,849 ÷ 4 = 920,962.25

If the quotient is a whole number, then 4 and 920,962.25 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 3,683,849
-1 3,683,849
Keep dividing by the next highest number until you cannot divide anymore.

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

11317792112211,0271,3432,7433,58716,66917,45946,631216,697283,3733,683,849
-1-13-17-79-211-221-1,027-1,343-2,743-3,587-16,669-17,459-46,631-216,697-283,373-3,683,849

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