Q: What are the factor combinations of the number 32,152,015?

 A:
Positive:   1 x 321520155 x 64304037 x 459314517 x 189129535 x 91862985 x 378259119 x 270185595 x 54037
Negative: -1 x -32152015-5 x -6430403-7 x -4593145-17 x -1891295-35 x -918629-85 x -378259-119 x -270185-595 x -54037


How do I find the factor combinations of the number 32,152,015?

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 32,152,015, 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 32,152,015
-1 -32,152,015

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 32,152,015.

Example:
1 x 32,152,015 = 32,152,015
and
-1 x -32,152,015 = 32,152,015
Notice both answers equal 32,152,015

With that explanation out of the way, let's continue. Next, we take the number 32,152,015 and divide it by 2:

32,152,015 ÷ 2 = 16,076,007.5

If the quotient is a whole number, then 2 and 16,076,007.5 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 32,152,015
-1 -32,152,015

Now, we try dividing 32,152,015 by 3:

32,152,015 ÷ 3 = 10,717,338.3333

If the quotient is a whole number, then 3 and 10,717,338.3333 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 32,152,015
-1 -32,152,015

Let's try dividing by 4:

32,152,015 ÷ 4 = 8,038,003.75

If the quotient is a whole number, then 4 and 8,038,003.75 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 32,152,015
-1 32,152,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959554,037270,185378,259918,6291,891,2954,593,1456,430,40332,152,015
-1-5-7-17-35-85-119-595-54,037-270,185-378,259-918,629-1,891,295-4,593,145-6,430,403-32,152,015

More Examples

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