Q: What are the factor combinations of the number 3,042,439?

 A:
Positive:   1 x 304243917 x 178967191 x 15929937 x 3247
Negative: -1 x -3042439-17 x -178967-191 x -15929-937 x -3247


How do I find the factor combinations of the number 3,042,439?

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 3,042,439, 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 3,042,439
-1 -3,042,439

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 3,042,439.

Example:
1 x 3,042,439 = 3,042,439
and
-1 x -3,042,439 = 3,042,439
Notice both answers equal 3,042,439

With that explanation out of the way, let's continue. Next, we take the number 3,042,439 and divide it by 2:

3,042,439 ÷ 2 = 1,521,219.5

If the quotient is a whole number, then 2 and 1,521,219.5 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 3,042,439
-1 -3,042,439

Now, we try dividing 3,042,439 by 3:

3,042,439 ÷ 3 = 1,014,146.3333

If the quotient is a whole number, then 3 and 1,014,146.3333 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 3,042,439
-1 -3,042,439

Let's try dividing by 4:

3,042,439 ÷ 4 = 760,609.75

If the quotient is a whole number, then 4 and 760,609.75 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 3,042,439
-1 3,042,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1171919373,24715,929178,9673,042,439
-1-17-191-937-3,247-15,929-178,967-3,042,439

More Examples

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