Q: What are the factor combinations of the number 324,242,215?

 A:
Positive:   1 x 3242422155 x 6484844311 x 2947656555 x 58953131787 x 1814453299 x 982858935 x 3628916495 x 19657
Negative: -1 x -324242215-5 x -64848443-11 x -29476565-55 x -5895313-1787 x -181445-3299 x -98285-8935 x -36289-16495 x -19657


How do I find the factor combinations of the number 324,242,215?

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 324,242,215, 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.

1 324,242,215
-1 -324,242,215

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 324,242,215.

Example:
1 x 324,242,215 = 324,242,215
and
-1 x -324,242,215 = 324,242,215
Notice both answers equal 324,242,215

With that explanation out of the way, let's continue. Next, we take the number 324,242,215 and divide it by 2:

324,242,215 ÷ 2 = 162,121,107.5

If the quotient is a whole number, then 2 and 162,121,107.5 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:

1 324,242,215
-1 -324,242,215

Now, we try dividing 324,242,215 by 3:

324,242,215 ÷ 3 = 108,080,738.3333

If the quotient is a whole number, then 3 and 108,080,738.3333 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:

1 324,242,215
-1 -324,242,215

Let's try dividing by 4:

324,242,215 ÷ 4 = 81,060,553.75

If the quotient is a whole number, then 4 and 81,060,553.75 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:

1 324,242,215
-1 324,242,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,7873,2998,93516,49519,65736,28998,285181,4455,895,31329,476,56564,848,443324,242,215
-1-5-11-55-1,787-3,299-8,935-16,495-19,657-36,289-98,285-181,445-5,895,313-29,476,565-64,848,443-324,242,215

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