Q: What are the factor combinations of the number 1,360,555?

 A:
Positive:   1 x 13605555 x 2721117 x 19436535 x 38873
Negative: -1 x -1360555-5 x -272111-7 x -194365-35 x -38873


How do I find the factor combinations of the number 1,360,555?

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 1,360,555, 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 1,360,555
-1 -1,360,555

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 1,360,555.

Example:
1 x 1,360,555 = 1,360,555
and
-1 x -1,360,555 = 1,360,555
Notice both answers equal 1,360,555

With that explanation out of the way, let's continue. Next, we take the number 1,360,555 and divide it by 2:

1,360,555 ÷ 2 = 680,277.5

If the quotient is a whole number, then 2 and 680,277.5 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 1,360,555
-1 -1,360,555

Now, we try dividing 1,360,555 by 3:

1,360,555 ÷ 3 = 453,518.3333

If the quotient is a whole number, then 3 and 453,518.3333 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 1,360,555
-1 -1,360,555

Let's try dividing by 4:

1,360,555 ÷ 4 = 340,138.75

If the quotient is a whole number, then 4 and 340,138.75 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 1,360,555
-1 1,360,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1573538,873194,365272,1111,360,555
-1-5-7-35-38,873-194,365-272,111-1,360,555

More Examples

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