Q: What are the factor combinations of the number 1,044,043?

 A:
Positive:   1 x 10440437 x 14914911 x 9491313 x 8031149 x 2130777 x 1355991 x 11473143 x 7301149 x 7007539 x 1937637 x 16391001 x 1043
Negative: -1 x -1044043-7 x -149149-11 x -94913-13 x -80311-49 x -21307-77 x -13559-91 x -11473-143 x -7301-149 x -7007-539 x -1937-637 x -1639-1001 x -1043


How do I find the factor combinations of the number 1,044,043?

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 1,044,043, 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 1,044,043
-1 -1,044,043

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 1,044,043.

Example:
1 x 1,044,043 = 1,044,043
and
-1 x -1,044,043 = 1,044,043
Notice both answers equal 1,044,043

With that explanation out of the way, let's continue. Next, we take the number 1,044,043 and divide it by 2:

1,044,043 ÷ 2 = 522,021.5

If the quotient is a whole number, then 2 and 522,021.5 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 1,044,043
-1 -1,044,043

Now, we try dividing 1,044,043 by 3:

1,044,043 ÷ 3 = 348,014.3333

If the quotient is a whole number, then 3 and 348,014.3333 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 1,044,043
-1 -1,044,043

Let's try dividing by 4:

1,044,043 ÷ 4 = 261,010.75

If the quotient is a whole number, then 4 and 261,010.75 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 1,044,043
-1 1,044,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911431495396371,0011,0431,6391,9377,0077,30111,47313,55921,30780,31194,913149,1491,044,043
-1-7-11-13-49-77-91-143-149-539-637-1,001-1,043-1,639-1,937-7,007-7,301-11,473-13,559-21,307-80,311-94,913-149,149-1,044,043

More Examples

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