Q: What are the factor combinations of the number 3,503,339?

 A:
Positive:   1 x 35033397 x 50047743 x 81473103 x 34013113 x 31003301 x 11639721 x 4859791 x 4429
Negative: -1 x -3503339-7 x -500477-43 x -81473-103 x -34013-113 x -31003-301 x -11639-721 x -4859-791 x -4429


How do I find the factor combinations of the number 3,503,339?

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 3,503,339, 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 3,503,339
-1 -3,503,339

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 3,503,339.

Example:
1 x 3,503,339 = 3,503,339
and
-1 x -3,503,339 = 3,503,339
Notice both answers equal 3,503,339

With that explanation out of the way, let's continue. Next, we take the number 3,503,339 and divide it by 2:

3,503,339 ÷ 2 = 1,751,669.5

If the quotient is a whole number, then 2 and 1,751,669.5 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 3,503,339
-1 -3,503,339

Now, we try dividing 3,503,339 by 3:

3,503,339 ÷ 3 = 1,167,779.6667

If the quotient is a whole number, then 3 and 1,167,779.6667 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 3,503,339
-1 -3,503,339

Let's try dividing by 4:

3,503,339 ÷ 4 = 875,834.75

If the quotient is a whole number, then 4 and 875,834.75 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 3,503,339
-1 3,503,339
Keep dividing by the next highest number until you cannot divide anymore.

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

17431031133017217914,4294,85911,63931,00334,01381,473500,4773,503,339
-1-7-43-103-113-301-721-791-4,429-4,859-11,639-31,003-34,013-81,473-500,477-3,503,339

More Examples

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