Q: What are the factor combinations of the number 3,601,355?

 A:
Positive:   1 x 36013555 x 72027119 x 18954595 x 37909167 x 21565227 x 15865835 x 43131135 x 3173
Negative: -1 x -3601355-5 x -720271-19 x -189545-95 x -37909-167 x -21565-227 x -15865-835 x -4313-1135 x -3173


How do I find the factor combinations of the number 3,601,355?

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 3,601,355, 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 3,601,355
-1 -3,601,355

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 3,601,355.

Example:
1 x 3,601,355 = 3,601,355
and
-1 x -3,601,355 = 3,601,355
Notice both answers equal 3,601,355

With that explanation out of the way, let's continue. Next, we take the number 3,601,355 and divide it by 2:

3,601,355 ÷ 2 = 1,800,677.5

If the quotient is a whole number, then 2 and 1,800,677.5 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 3,601,355
-1 -3,601,355

Now, we try dividing 3,601,355 by 3:

3,601,355 ÷ 3 = 1,200,451.6667

If the quotient is a whole number, then 3 and 1,200,451.6667 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 3,601,355
-1 -3,601,355

Let's try dividing by 4:

3,601,355 ÷ 4 = 900,338.75

If the quotient is a whole number, then 4 and 900,338.75 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 3,601,355
-1 3,601,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951672278351,1353,1734,31315,86521,56537,909189,545720,2713,601,355
-1-5-19-95-167-227-835-1,135-3,173-4,313-15,865-21,565-37,909-189,545-720,271-3,601,355

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