Q: What are the factor combinations of the number 324,532,997?

 A:
Positive:   1 x 32453299729 x 1119079343 x 754727997 x 33457011247 x 2602512683 x 1209592813 x 1153694171 x 77807
Negative: -1 x -324532997-29 x -11190793-43 x -7547279-97 x -3345701-1247 x -260251-2683 x -120959-2813 x -115369-4171 x -77807


How do I find the factor combinations of the number 324,532,997?

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 324,532,997, 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.

1 324,532,997
-1 -324,532,997

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 324,532,997.

Example:
1 x 324,532,997 = 324,532,997
and
-1 x -324,532,997 = 324,532,997
Notice both answers equal 324,532,997

With that explanation out of the way, let's continue. Next, we take the number 324,532,997 and divide it by 2:

324,532,997 ÷ 2 = 162,266,498.5

If the quotient is a whole number, then 2 and 162,266,498.5 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:

1 324,532,997
-1 -324,532,997

Now, we try dividing 324,532,997 by 3:

324,532,997 ÷ 3 = 108,177,665.6667

If the quotient is a whole number, then 3 and 108,177,665.6667 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:

1 324,532,997
-1 -324,532,997

Let's try dividing by 4:

324,532,997 ÷ 4 = 81,133,249.25

If the quotient is a whole number, then 4 and 81,133,249.25 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:

1 324,532,997
-1 324,532,997
Keep dividing by the next highest number until you cannot divide anymore.

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

12943971,2472,6832,8134,17177,807115,369120,959260,2513,345,7017,547,27911,190,793324,532,997
-1-29-43-97-1,247-2,683-2,813-4,171-77,807-115,369-120,959-260,251-3,345,701-7,547,279-11,190,793-324,532,997

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