Q: What are the factor combinations of the number 327,212,645?

 A:
Positive:   1 x 3272126455 x 6544252937 x 884358573 x 4482365185 x 1768717365 x 8964732701 x 12114513505 x 24229
Negative: -1 x -327212645-5 x -65442529-37 x -8843585-73 x -4482365-185 x -1768717-365 x -896473-2701 x -121145-13505 x -24229


How do I find the factor combinations of the number 327,212,645?

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 327,212,645, 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.

1 327,212,645
-1 -327,212,645

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 327,212,645.

Example:
1 x 327,212,645 = 327,212,645
and
-1 x -327,212,645 = 327,212,645
Notice both answers equal 327,212,645

With that explanation out of the way, let's continue. Next, we take the number 327,212,645 and divide it by 2:

327,212,645 ÷ 2 = 163,606,322.5

If the quotient is a whole number, then 2 and 163,606,322.5 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:

1 327,212,645
-1 -327,212,645

Now, we try dividing 327,212,645 by 3:

327,212,645 ÷ 3 = 109,070,881.6667

If the quotient is a whole number, then 3 and 109,070,881.6667 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:

1 327,212,645
-1 -327,212,645

Let's try dividing by 4:

327,212,645 ÷ 4 = 81,803,161.25

If the quotient is a whole number, then 4 and 81,803,161.25 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:

1 327,212,645
-1 327,212,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1537731853652,70113,50524,229121,145896,4731,768,7174,482,3658,843,58565,442,529327,212,645
-1-5-37-73-185-365-2,701-13,505-24,229-121,145-896,473-1,768,717-4,482,365-8,843,585-65,442,529-327,212,645

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