Q: What are the factor combinations of the number 1,442,441?

 A:
Positive:   1 x 14424417 x 20606311 x 13113113 x 11095777 x 1873391 x 15851121 x 11921131 x 11011143 x 10087847 x 1703917 x 15731001 x 1441
Negative: -1 x -1442441-7 x -206063-11 x -131131-13 x -110957-77 x -18733-91 x -15851-121 x -11921-131 x -11011-143 x -10087-847 x -1703-917 x -1573-1001 x -1441


How do I find the factor combinations of the number 1,442,441?

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 1,442,441, 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 1,442,441
-1 -1,442,441

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 1,442,441.

Example:
1 x 1,442,441 = 1,442,441
and
-1 x -1,442,441 = 1,442,441
Notice both answers equal 1,442,441

With that explanation out of the way, let's continue. Next, we take the number 1,442,441 and divide it by 2:

1,442,441 ÷ 2 = 721,220.5

If the quotient is a whole number, then 2 and 721,220.5 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 1,442,441
-1 -1,442,441

Now, we try dividing 1,442,441 by 3:

1,442,441 ÷ 3 = 480,813.6667

If the quotient is a whole number, then 3 and 480,813.6667 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 1,442,441
-1 -1,442,441

Let's try dividing by 4:

1,442,441 ÷ 4 = 360,610.25

If the quotient is a whole number, then 4 and 360,610.25 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 1,442,441
-1 1,442,441
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911211311438479171,0011,4411,5731,70310,08711,01111,92115,85118,733110,957131,131206,0631,442,441
-1-7-11-13-77-91-121-131-143-847-917-1,001-1,441-1,573-1,703-10,087-11,011-11,921-15,851-18,733-110,957-131,131-206,063-1,442,441

More Examples

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