Q: What are the factor combinations of the number 3,829,241?

 A:
Positive:   1 x 382924113 x 29455719 x 20153937 x 103493247 x 15503419 x 9139481 x 7961703 x 5447
Negative: -1 x -3829241-13 x -294557-19 x -201539-37 x -103493-247 x -15503-419 x -9139-481 x -7961-703 x -5447


How do I find the factor combinations of the number 3,829,241?

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 3,829,241, 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 3,829,241
-1 -3,829,241

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 3,829,241.

Example:
1 x 3,829,241 = 3,829,241
and
-1 x -3,829,241 = 3,829,241
Notice both answers equal 3,829,241

With that explanation out of the way, let's continue. Next, we take the number 3,829,241 and divide it by 2:

3,829,241 ÷ 2 = 1,914,620.5

If the quotient is a whole number, then 2 and 1,914,620.5 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 3,829,241
-1 -3,829,241

Now, we try dividing 3,829,241 by 3:

3,829,241 ÷ 3 = 1,276,413.6667

If the quotient is a whole number, then 3 and 1,276,413.6667 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 3,829,241
-1 -3,829,241

Let's try dividing by 4:

3,829,241 ÷ 4 = 957,310.25

If the quotient is a whole number, then 4 and 957,310.25 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 3,829,241
-1 3,829,241
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372474194817035,4477,9619,13915,503103,493201,539294,5573,829,241
-1-13-19-37-247-419-481-703-5,447-7,961-9,139-15,503-103,493-201,539-294,557-3,829,241

More Examples

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