Q: What are the factor combinations of the number 3,604,315?

 A:
Positive:   1 x 36043155 x 72086311 x 32766513 x 27725555 x 6553365 x 5545171 x 50765143 x 25205355 x 10153715 x 5041781 x 4615923 x 3905
Negative: -1 x -3604315-5 x -720863-11 x -327665-13 x -277255-55 x -65533-65 x -55451-71 x -50765-143 x -25205-355 x -10153-715 x -5041-781 x -4615-923 x -3905


How do I find the factor combinations of the number 3,604,315?

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 3,604,315, 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 3,604,315
-1 -3,604,315

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 3,604,315.

Example:
1 x 3,604,315 = 3,604,315
and
-1 x -3,604,315 = 3,604,315
Notice both answers equal 3,604,315

With that explanation out of the way, let's continue. Next, we take the number 3,604,315 and divide it by 2:

3,604,315 ÷ 2 = 1,802,157.5

If the quotient is a whole number, then 2 and 1,802,157.5 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 3,604,315
-1 -3,604,315

Now, we try dividing 3,604,315 by 3:

3,604,315 ÷ 3 = 1,201,438.3333

If the quotient is a whole number, then 3 and 1,201,438.3333 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 3,604,315
-1 -3,604,315

Let's try dividing by 4:

3,604,315 ÷ 4 = 901,078.75

If the quotient is a whole number, then 4 and 901,078.75 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 3,604,315
-1 3,604,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565711433557157819233,9054,6155,04110,15325,20550,76555,45165,533277,255327,665720,8633,604,315
-1-5-11-13-55-65-71-143-355-715-781-923-3,905-4,615-5,041-10,153-25,205-50,765-55,451-65,533-277,255-327,665-720,863-3,604,315

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