Q: What are the factor combinations of the number 3,639,431?

 A:
Positive:   1 x 363943119 x 19154931 x 11740137 x 98363167 x 21793589 x 6179703 x 51771147 x 3173
Negative: -1 x -3639431-19 x -191549-31 x -117401-37 x -98363-167 x -21793-589 x -6179-703 x -5177-1147 x -3173


How do I find the factor combinations of the number 3,639,431?

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 3,639,431, 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 3,639,431
-1 -3,639,431

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 3,639,431.

Example:
1 x 3,639,431 = 3,639,431
and
-1 x -3,639,431 = 3,639,431
Notice both answers equal 3,639,431

With that explanation out of the way, let's continue. Next, we take the number 3,639,431 and divide it by 2:

3,639,431 ÷ 2 = 1,819,715.5

If the quotient is a whole number, then 2 and 1,819,715.5 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 3,639,431
-1 -3,639,431

Now, we try dividing 3,639,431 by 3:

3,639,431 ÷ 3 = 1,213,143.6667

If the quotient is a whole number, then 3 and 1,213,143.6667 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 3,639,431
-1 -3,639,431

Let's try dividing by 4:

3,639,431 ÷ 4 = 909,857.75

If the quotient is a whole number, then 4 and 909,857.75 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 3,639,431
-1 3,639,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11931371675897031,1473,1735,1776,17921,79398,363117,401191,5493,639,431
-1-19-31-37-167-589-703-1,147-3,173-5,177-6,179-21,793-98,363-117,401-191,549-3,639,431

More Examples

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