Q: What are the factor combinations of the number 32,121,215?

 A:
Positive:   1 x 321212155 x 64242437 x 458874535 x 91774943 x 74700549 x 655535215 x 149401245 x 131107301 x 1067151505 x 213432107 x 152453049 x 10535
Negative: -1 x -32121215-5 x -6424243-7 x -4588745-35 x -917749-43 x -747005-49 x -655535-215 x -149401-245 x -131107-301 x -106715-1505 x -21343-2107 x -15245-3049 x -10535


How do I find the factor combinations of the number 32,121,215?

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 32,121,215, 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 32,121,215
-1 -32,121,215

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 32,121,215.

Example:
1 x 32,121,215 = 32,121,215
and
-1 x -32,121,215 = 32,121,215
Notice both answers equal 32,121,215

With that explanation out of the way, let's continue. Next, we take the number 32,121,215 and divide it by 2:

32,121,215 ÷ 2 = 16,060,607.5

If the quotient is a whole number, then 2 and 16,060,607.5 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 32,121,215
-1 -32,121,215

Now, we try dividing 32,121,215 by 3:

32,121,215 ÷ 3 = 10,707,071.6667

If the quotient is a whole number, then 3 and 10,707,071.6667 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 32,121,215
-1 -32,121,215

Let's try dividing by 4:

32,121,215 ÷ 4 = 8,030,303.75

If the quotient is a whole number, then 4 and 8,030,303.75 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 32,121,215
-1 32,121,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543492152453011,5052,1073,04910,53515,24521,343106,715131,107149,401655,535747,005917,7494,588,7456,424,24332,121,215
-1-5-7-35-43-49-215-245-301-1,505-2,107-3,049-10,535-15,245-21,343-106,715-131,107-149,401-655,535-747,005-917,749-4,588,745-6,424,243-32,121,215

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