Q: What are the factor combinations of the number 4,042,423?

 A:
Positive:   1 x 40424237 x 57748911 x 36749347 x 8600977 x 52499329 x 12287517 x 78191117 x 3619
Negative: -1 x -4042423-7 x -577489-11 x -367493-47 x -86009-77 x -52499-329 x -12287-517 x -7819-1117 x -3619


How do I find the factor combinations of the number 4,042,423?

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 4,042,423, 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 4,042,423
-1 -4,042,423

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 4,042,423.

Example:
1 x 4,042,423 = 4,042,423
and
-1 x -4,042,423 = 4,042,423
Notice both answers equal 4,042,423

With that explanation out of the way, let's continue. Next, we take the number 4,042,423 and divide it by 2:

4,042,423 ÷ 2 = 2,021,211.5

If the quotient is a whole number, then 2 and 2,021,211.5 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 4,042,423
-1 -4,042,423

Now, we try dividing 4,042,423 by 3:

4,042,423 ÷ 3 = 1,347,474.3333

If the quotient is a whole number, then 3 and 1,347,474.3333 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 4,042,423
-1 -4,042,423

Let's try dividing by 4:

4,042,423 ÷ 4 = 1,010,605.75

If the quotient is a whole number, then 4 and 1,010,605.75 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 4,042,423
-1 4,042,423
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295171,1173,6197,81912,28752,49986,009367,493577,4894,042,423
-1-7-11-47-77-329-517-1,117-3,619-7,819-12,287-52,499-86,009-367,493-577,489-4,042,423

More Examples

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