Q: What are the factor combinations of the number 5,042,479?

 A:
Positive:   1 x 504247913 x 387883181 x 278592143 x 2353
Negative: -1 x -5042479-13 x -387883-181 x -27859-2143 x -2353


How do I find the factor combinations of the number 5,042,479?

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 5,042,479, 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 5,042,479
-1 -5,042,479

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 5,042,479.

Example:
1 x 5,042,479 = 5,042,479
and
-1 x -5,042,479 = 5,042,479
Notice both answers equal 5,042,479

With that explanation out of the way, let's continue. Next, we take the number 5,042,479 and divide it by 2:

5,042,479 ÷ 2 = 2,521,239.5

If the quotient is a whole number, then 2 and 2,521,239.5 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 5,042,479
-1 -5,042,479

Now, we try dividing 5,042,479 by 3:

5,042,479 ÷ 3 = 1,680,826.3333

If the quotient is a whole number, then 3 and 1,680,826.3333 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 5,042,479
-1 -5,042,479

Let's try dividing by 4:

5,042,479 ÷ 4 = 1,260,619.75

If the quotient is a whole number, then 4 and 1,260,619.75 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 5,042,479
-1 5,042,479
Keep dividing by the next highest number until you cannot divide anymore.

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

1131812,1432,35327,859387,8835,042,479
-1-13-181-2,143-2,353-27,859-387,883-5,042,479

More Examples

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