Q: What are the factor combinations of the number 332,563,427?

 A:
Positive:   1 x 3325634277 x 47509061181 x 1837367199 x 16711731267 x 2624811319 x 2521331393 x 2387399233 x 36019
Negative: -1 x -332563427-7 x -47509061-181 x -1837367-199 x -1671173-1267 x -262481-1319 x -252133-1393 x -238739-9233 x -36019


How do I find the factor combinations of the number 332,563,427?

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 332,563,427, 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.

1 332,563,427
-1 -332,563,427

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 332,563,427.

Example:
1 x 332,563,427 = 332,563,427
and
-1 x -332,563,427 = 332,563,427
Notice both answers equal 332,563,427

With that explanation out of the way, let's continue. Next, we take the number 332,563,427 and divide it by 2:

332,563,427 ÷ 2 = 166,281,713.5

If the quotient is a whole number, then 2 and 166,281,713.5 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:

1 332,563,427
-1 -332,563,427

Now, we try dividing 332,563,427 by 3:

332,563,427 ÷ 3 = 110,854,475.6667

If the quotient is a whole number, then 3 and 110,854,475.6667 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:

1 332,563,427
-1 -332,563,427

Let's try dividing by 4:

332,563,427 ÷ 4 = 83,140,856.75

If the quotient is a whole number, then 4 and 83,140,856.75 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:

1 332,563,427
-1 332,563,427
Keep dividing by the next highest number until you cannot divide anymore.

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

171811991,2671,3191,3939,23336,019238,739252,133262,4811,671,1731,837,36747,509,061332,563,427
-1-7-181-199-1,267-1,319-1,393-9,233-36,019-238,739-252,133-262,481-1,671,173-1,837,367-47,509,061-332,563,427

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