Q: What are the factor combinations of the number 1,444,745?

 A:
Positive:   1 x 14447455 x 28894917 x 8498523 x 6281585 x 16997115 x 12563391 x 3695739 x 1955
Negative: -1 x -1444745-5 x -288949-17 x -84985-23 x -62815-85 x -16997-115 x -12563-391 x -3695-739 x -1955


How do I find the factor combinations of the number 1,444,745?

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 1,444,745, 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 1,444,745
-1 -1,444,745

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 1,444,745.

Example:
1 x 1,444,745 = 1,444,745
and
-1 x -1,444,745 = 1,444,745
Notice both answers equal 1,444,745

With that explanation out of the way, let's continue. Next, we take the number 1,444,745 and divide it by 2:

1,444,745 ÷ 2 = 722,372.5

If the quotient is a whole number, then 2 and 722,372.5 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 1,444,745
-1 -1,444,745

Now, we try dividing 1,444,745 by 3:

1,444,745 ÷ 3 = 481,581.6667

If the quotient is a whole number, then 3 and 481,581.6667 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 1,444,745
-1 -1,444,745

Let's try dividing by 4:

1,444,745 ÷ 4 = 361,186.25

If the quotient is a whole number, then 4 and 361,186.25 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 1,444,745
-1 1,444,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153917391,9553,69512,56316,99762,81584,985288,9491,444,745
-1-5-17-23-85-115-391-739-1,955-3,695-12,563-16,997-62,815-84,985-288,949-1,444,745

More Examples

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