Q: What are the factor combinations of the number 32,242,015?

 A:
Positive:   1 x 322420155 x 644840313 x 248015531 x 104006565 x 496031155 x 208013403 x 800052015 x 16001
Negative: -1 x -32242015-5 x -6448403-13 x -2480155-31 x -1040065-65 x -496031-155 x -208013-403 x -80005-2015 x -16001


How do I find the factor combinations of the number 32,242,015?

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 32,242,015, 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 32,242,015
-1 -32,242,015

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 32,242,015.

Example:
1 x 32,242,015 = 32,242,015
and
-1 x -32,242,015 = 32,242,015
Notice both answers equal 32,242,015

With that explanation out of the way, let's continue. Next, we take the number 32,242,015 and divide it by 2:

32,242,015 ÷ 2 = 16,121,007.5

If the quotient is a whole number, then 2 and 16,121,007.5 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 32,242,015
-1 -32,242,015

Now, we try dividing 32,242,015 by 3:

32,242,015 ÷ 3 = 10,747,338.3333

If the quotient is a whole number, then 3 and 10,747,338.3333 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 32,242,015
-1 -32,242,015

Let's try dividing by 4:

32,242,015 ÷ 4 = 8,060,503.75

If the quotient is a whole number, then 4 and 8,060,503.75 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 32,242,015
-1 32,242,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01516,00180,005208,013496,0311,040,0652,480,1556,448,40332,242,015
-1-5-13-31-65-155-403-2,015-16,001-80,005-208,013-496,031-1,040,065-2,480,155-6,448,403-32,242,015

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