Q: What are the factor combinations of the number 24,029,483?

 A:
Positive:   1 x 2402948317 x 141349967 x 35864973 x 329171289 x 831471139 x 210971241 x 193634891 x 4913
Negative: -1 x -24029483-17 x -1413499-67 x -358649-73 x -329171-289 x -83147-1139 x -21097-1241 x -19363-4891 x -4913


How do I find the factor combinations of the number 24,029,483?

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 24,029,483, 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 24,029,483
-1 -24,029,483

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 24,029,483.

Example:
1 x 24,029,483 = 24,029,483
and
-1 x -24,029,483 = 24,029,483
Notice both answers equal 24,029,483

With that explanation out of the way, let's continue. Next, we take the number 24,029,483 and divide it by 2:

24,029,483 ÷ 2 = 12,014,741.5

If the quotient is a whole number, then 2 and 12,014,741.5 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 24,029,483
-1 -24,029,483

Now, we try dividing 24,029,483 by 3:

24,029,483 ÷ 3 = 8,009,827.6667

If the quotient is a whole number, then 3 and 8,009,827.6667 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 24,029,483
-1 -24,029,483

Let's try dividing by 4:

24,029,483 ÷ 4 = 6,007,370.75

If the quotient is a whole number, then 4 and 6,007,370.75 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 24,029,483
-1 24,029,483
Keep dividing by the next highest number until you cannot divide anymore.

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

11767732891,1391,2414,8914,91319,36321,09783,147329,171358,6491,413,49924,029,483
-1-17-67-73-289-1,139-1,241-4,891-4,913-19,363-21,097-83,147-329,171-358,649-1,413,499-24,029,483

More Examples

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