Q: What are the factor combinations of the number 1,440,043?

 A:
Positive:   1 x 144004311 x 13091331 x 4645341 x 35123103 x 13981341 x 4223451 x 31931133 x 1271
Negative: -1 x -1440043-11 x -130913-31 x -46453-41 x -35123-103 x -13981-341 x -4223-451 x -3193-1133 x -1271


How do I find the factor combinations of the number 1,440,043?

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 1,440,043, 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 1,440,043
-1 -1,440,043

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 1,440,043.

Example:
1 x 1,440,043 = 1,440,043
and
-1 x -1,440,043 = 1,440,043
Notice both answers equal 1,440,043

With that explanation out of the way, let's continue. Next, we take the number 1,440,043 and divide it by 2:

1,440,043 ÷ 2 = 720,021.5

If the quotient is a whole number, then 2 and 720,021.5 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 1,440,043
-1 -1,440,043

Now, we try dividing 1,440,043 by 3:

1,440,043 ÷ 3 = 480,014.3333

If the quotient is a whole number, then 3 and 480,014.3333 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 1,440,043
-1 -1,440,043

Let's try dividing by 4:

1,440,043 ÷ 4 = 360,010.75

If the quotient is a whole number, then 4 and 360,010.75 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 1,440,043
-1 1,440,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11131411033414511,1331,2713,1934,22313,98135,12346,453130,9131,440,043
-1-11-31-41-103-341-451-1,133-1,271-3,193-4,223-13,981-35,123-46,453-130,913-1,440,043

More Examples

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