Q: What are the factor combinations of the number 24,067,265?

 A:
Positive:   1 x 240672655 x 4813453307 x 783951535 x 15679
Negative: -1 x -24067265-5 x -4813453-307 x -78395-1535 x -15679


How do I find the factor combinations of the number 24,067,265?

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 24,067,265, 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 24,067,265
-1 -24,067,265

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 24,067,265.

Example:
1 x 24,067,265 = 24,067,265
and
-1 x -24,067,265 = 24,067,265
Notice both answers equal 24,067,265

With that explanation out of the way, let's continue. Next, we take the number 24,067,265 and divide it by 2:

24,067,265 ÷ 2 = 12,033,632.5

If the quotient is a whole number, then 2 and 12,033,632.5 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 24,067,265
-1 -24,067,265

Now, we try dividing 24,067,265 by 3:

24,067,265 ÷ 3 = 8,022,421.6667

If the quotient is a whole number, then 3 and 8,022,421.6667 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 24,067,265
-1 -24,067,265

Let's try dividing by 4:

24,067,265 ÷ 4 = 6,016,816.25

If the quotient is a whole number, then 4 and 6,016,816.25 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 24,067,265
-1 24,067,265
Keep dividing by the next highest number until you cannot divide anymore.

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

153071,53515,67978,3954,813,45324,067,265
-1-5-307-1,535-15,679-78,395-4,813,453-24,067,265

More Examples

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