Q: What are the factor combinations of the number 3,706,339?

 A:
Positive:   1 x 37063397 x 52947713 x 28510391 x 40729169 x 21931241 x 153791183 x 31331687 x 2197
Negative: -1 x -3706339-7 x -529477-13 x -285103-91 x -40729-169 x -21931-241 x -15379-1183 x -3133-1687 x -2197


How do I find the factor combinations of the number 3,706,339?

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 3,706,339, 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 3,706,339
-1 -3,706,339

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 3,706,339.

Example:
1 x 3,706,339 = 3,706,339
and
-1 x -3,706,339 = 3,706,339
Notice both answers equal 3,706,339

With that explanation out of the way, let's continue. Next, we take the number 3,706,339 and divide it by 2:

3,706,339 ÷ 2 = 1,853,169.5

If the quotient is a whole number, then 2 and 1,853,169.5 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 3,706,339
-1 -3,706,339

Now, we try dividing 3,706,339 by 3:

3,706,339 ÷ 3 = 1,235,446.3333

If the quotient is a whole number, then 3 and 1,235,446.3333 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 3,706,339
-1 -3,706,339

Let's try dividing by 4:

3,706,339 ÷ 4 = 926,584.75

If the quotient is a whole number, then 4 and 926,584.75 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 3,706,339
-1 3,706,339
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911692411,1831,6872,1973,13315,37921,93140,729285,103529,4773,706,339
-1-7-13-91-169-241-1,183-1,687-2,197-3,133-15,379-21,931-40,729-285,103-529,477-3,706,339

More Examples

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