Q: What are the factor combinations of the number 4,042,043?

 A:
Positive:   1 x 404204323 x 17574143 x 9400161 x 6626367 x 60329989 x 40871403 x 28811541 x 2623
Negative: -1 x -4042043-23 x -175741-43 x -94001-61 x -66263-67 x -60329-989 x -4087-1403 x -2881-1541 x -2623


How do I find the factor combinations of the number 4,042,043?

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 4,042,043, 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 4,042,043
-1 -4,042,043

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 4,042,043.

Example:
1 x 4,042,043 = 4,042,043
and
-1 x -4,042,043 = 4,042,043
Notice both answers equal 4,042,043

With that explanation out of the way, let's continue. Next, we take the number 4,042,043 and divide it by 2:

4,042,043 ÷ 2 = 2,021,021.5

If the quotient is a whole number, then 2 and 2,021,021.5 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 4,042,043
-1 -4,042,043

Now, we try dividing 4,042,043 by 3:

4,042,043 ÷ 3 = 1,347,347.6667

If the quotient is a whole number, then 3 and 1,347,347.6667 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 4,042,043
-1 -4,042,043

Let's try dividing by 4:

4,042,043 ÷ 4 = 1,010,510.75

If the quotient is a whole number, then 4 and 1,010,510.75 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 4,042,043
-1 4,042,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1234361679891,4031,5412,6232,8814,08760,32966,26394,001175,7414,042,043
-1-23-43-61-67-989-1,403-1,541-2,623-2,881-4,087-60,329-66,263-94,001-175,741-4,042,043

More Examples

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