Q: What are the factor combinations of the number 32,033,015?

 A:
Positive:   1 x 320330155 x 64066037 x 457614517 x 188429535 x 91522949 x 65373585 x 376859119 x 269185245 x 130747595 x 53837833 x 384554165 x 7691
Negative: -1 x -32033015-5 x -6406603-7 x -4576145-17 x -1884295-35 x -915229-49 x -653735-85 x -376859-119 x -269185-245 x -130747-595 x -53837-833 x -38455-4165 x -7691


How do I find the factor combinations of the number 32,033,015?

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 32,033,015, 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 32,033,015
-1 -32,033,015

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 32,033,015.

Example:
1 x 32,033,015 = 32,033,015
and
-1 x -32,033,015 = 32,033,015
Notice both answers equal 32,033,015

With that explanation out of the way, let's continue. Next, we take the number 32,033,015 and divide it by 2:

32,033,015 ÷ 2 = 16,016,507.5

If the quotient is a whole number, then 2 and 16,016,507.5 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 32,033,015
-1 -32,033,015

Now, we try dividing 32,033,015 by 3:

32,033,015 ÷ 3 = 10,677,671.6667

If the quotient is a whole number, then 3 and 10,677,671.6667 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 32,033,015
-1 -32,033,015

Let's try dividing by 4:

32,033,015 ÷ 4 = 8,008,253.75

If the quotient is a whole number, then 4 and 8,008,253.75 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 32,033,015
-1 32,033,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,1657,69138,45553,837130,747269,185376,859653,735915,2291,884,2954,576,1456,406,60332,033,015
-1-5-7-17-35-49-85-119-245-595-833-4,165-7,691-38,455-53,837-130,747-269,185-376,859-653,735-915,229-1,884,295-4,576,145-6,406,603-32,033,015

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