Q: What are the factor combinations of the number 1,356,655?

 A:
Positive:   1 x 13566555 x 27133123 x 5898547 x 28865115 x 11797235 x 5773251 x 54051081 x 1255
Negative: -1 x -1356655-5 x -271331-23 x -58985-47 x -28865-115 x -11797-235 x -5773-251 x -5405-1081 x -1255


How do I find the factor combinations of the number 1,356,655?

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 1,356,655, 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 1,356,655
-1 -1,356,655

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 1,356,655.

Example:
1 x 1,356,655 = 1,356,655
and
-1 x -1,356,655 = 1,356,655
Notice both answers equal 1,356,655

With that explanation out of the way, let's continue. Next, we take the number 1,356,655 and divide it by 2:

1,356,655 ÷ 2 = 678,327.5

If the quotient is a whole number, then 2 and 678,327.5 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 1,356,655
-1 -1,356,655

Now, we try dividing 1,356,655 by 3:

1,356,655 ÷ 3 = 452,218.3333

If the quotient is a whole number, then 3 and 452,218.3333 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 1,356,655
-1 -1,356,655

Let's try dividing by 4:

1,356,655 ÷ 4 = 339,163.75

If the quotient is a whole number, then 4 and 339,163.75 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 1,356,655
-1 1,356,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152352511,0811,2555,4055,77311,79728,86558,985271,3311,356,655
-1-5-23-47-115-235-251-1,081-1,255-5,405-5,773-11,797-28,865-58,985-271,331-1,356,655

More Examples

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