Q: What are the factor combinations of the number 3,378,739?

 A:
Positive:   1 x 33787397 x 48267713 x 25990391 x 37129107 x 31577347 x 9737749 x 45111391 x 2429
Negative: -1 x -3378739-7 x -482677-13 x -259903-91 x -37129-107 x -31577-347 x -9737-749 x -4511-1391 x -2429


How do I find the factor combinations of the number 3,378,739?

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 3,378,739, 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 3,378,739
-1 -3,378,739

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 3,378,739.

Example:
1 x 3,378,739 = 3,378,739
and
-1 x -3,378,739 = 3,378,739
Notice both answers equal 3,378,739

With that explanation out of the way, let's continue. Next, we take the number 3,378,739 and divide it by 2:

3,378,739 ÷ 2 = 1,689,369.5

If the quotient is a whole number, then 2 and 1,689,369.5 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 3,378,739
-1 -3,378,739

Now, we try dividing 3,378,739 by 3:

3,378,739 ÷ 3 = 1,126,246.3333

If the quotient is a whole number, then 3 and 1,126,246.3333 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 3,378,739
-1 -3,378,739

Let's try dividing by 4:

3,378,739 ÷ 4 = 844,684.75

If the quotient is a whole number, then 4 and 844,684.75 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 3,378,739
-1 3,378,739
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911073477491,3912,4294,5119,73731,57737,129259,903482,6773,378,739
-1-7-13-91-107-347-749-1,391-2,429-4,511-9,737-31,577-37,129-259,903-482,677-3,378,739

More Examples

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