Q: What are the factor combinations of the number 5,450,575?

 A:
Positive:   1 x 54505755 x 109011513 x 41927525 x 21802331 x 17582565 x 83855155 x 35165325 x 16771403 x 13525541 x 10075775 x 70332015 x 2705
Negative: -1 x -5450575-5 x -1090115-13 x -419275-25 x -218023-31 x -175825-65 x -83855-155 x -35165-325 x -16771-403 x -13525-541 x -10075-775 x -7033-2015 x -2705


How do I find the factor combinations of the number 5,450,575?

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 5,450,575, 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 5,450,575
-1 -5,450,575

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 5,450,575.

Example:
1 x 5,450,575 = 5,450,575
and
-1 x -5,450,575 = 5,450,575
Notice both answers equal 5,450,575

With that explanation out of the way, let's continue. Next, we take the number 5,450,575 and divide it by 2:

5,450,575 ÷ 2 = 2,725,287.5

If the quotient is a whole number, then 2 and 2,725,287.5 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 5,450,575
-1 -5,450,575

Now, we try dividing 5,450,575 by 3:

5,450,575 ÷ 3 = 1,816,858.3333

If the quotient is a whole number, then 3 and 1,816,858.3333 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 5,450,575
-1 -5,450,575

Let's try dividing by 4:

5,450,575 ÷ 4 = 1,362,643.75

If the quotient is a whole number, then 4 and 1,362,643.75 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 5,450,575
-1 5,450,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15132531651553254035417752,0152,7057,03310,07513,52516,77135,16583,855175,825218,023419,2751,090,1155,450,575
-1-5-13-25-31-65-155-325-403-541-775-2,015-2,705-7,033-10,075-13,525-16,771-35,165-83,855-175,825-218,023-419,275-1,090,115-5,450,575

More Examples

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