Q: What are the factor combinations of the number 1,381,445?

 A:
Positive:   1 x 13814455 x 27628913 x 10626553 x 2606565 x 21253265 x 5213401 x 3445689 x 2005
Negative: -1 x -1381445-5 x -276289-13 x -106265-53 x -26065-65 x -21253-265 x -5213-401 x -3445-689 x -2005


How do I find the factor combinations of the number 1,381,445?

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 1,381,445, 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 1,381,445
-1 -1,381,445

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 1,381,445.

Example:
1 x 1,381,445 = 1,381,445
and
-1 x -1,381,445 = 1,381,445
Notice both answers equal 1,381,445

With that explanation out of the way, let's continue. Next, we take the number 1,381,445 and divide it by 2:

1,381,445 ÷ 2 = 690,722.5

If the quotient is a whole number, then 2 and 690,722.5 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 1,381,445
-1 -1,381,445

Now, we try dividing 1,381,445 by 3:

1,381,445 ÷ 3 = 460,481.6667

If the quotient is a whole number, then 3 and 460,481.6667 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 1,381,445
-1 -1,381,445

Let's try dividing by 4:

1,381,445 ÷ 4 = 345,361.25

If the quotient is a whole number, then 4 and 345,361.25 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 1,381,445
-1 1,381,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151353652654016892,0053,4455,21321,25326,065106,265276,2891,381,445
-1-5-13-53-65-265-401-689-2,005-3,445-5,213-21,253-26,065-106,265-276,289-1,381,445

More Examples

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