Q: What are the factor combinations of the number 324,232,051?

 A:
Positive:   1 x 32423205111 x 2947564113 x 24940927143 x 22673571061 x 3055912137 x 15172311671 x 2778113793 x 23507
Negative: -1 x -324232051-11 x -29475641-13 x -24940927-143 x -2267357-1061 x -305591-2137 x -151723-11671 x -27781-13793 x -23507


How do I find the factor combinations of the number 324,232,051?

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 324,232,051, 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.

1 324,232,051
-1 -324,232,051

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 324,232,051.

Example:
1 x 324,232,051 = 324,232,051
and
-1 x -324,232,051 = 324,232,051
Notice both answers equal 324,232,051

With that explanation out of the way, let's continue. Next, we take the number 324,232,051 and divide it by 2:

324,232,051 ÷ 2 = 162,116,025.5

If the quotient is a whole number, then 2 and 162,116,025.5 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:

1 324,232,051
-1 -324,232,051

Now, we try dividing 324,232,051 by 3:

324,232,051 ÷ 3 = 108,077,350.3333

If the quotient is a whole number, then 3 and 108,077,350.3333 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:

1 324,232,051
-1 -324,232,051

Let's try dividing by 4:

324,232,051 ÷ 4 = 81,058,012.75

If the quotient is a whole number, then 4 and 81,058,012.75 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:

1 324,232,051
-1 324,232,051
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431,0612,13711,67113,79323,50727,781151,723305,5912,267,35724,940,92729,475,641324,232,051
-1-11-13-143-1,061-2,137-11,671-13,793-23,507-27,781-151,723-305,591-2,267,357-24,940,927-29,475,641-324,232,051

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