Q: What are the factor combinations of the number 24,023,465?

 A:
Positive:   1 x 240234655 x 480469317 x 141314585 x 282629233 x 1031051165 x 206211213 x 198053961 x 6065
Negative: -1 x -24023465-5 x -4804693-17 x -1413145-85 x -282629-233 x -103105-1165 x -20621-1213 x -19805-3961 x -6065


How do I find the factor combinations of the number 24,023,465?

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 24,023,465, 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 24,023,465
-1 -24,023,465

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 24,023,465.

Example:
1 x 24,023,465 = 24,023,465
and
-1 x -24,023,465 = 24,023,465
Notice both answers equal 24,023,465

With that explanation out of the way, let's continue. Next, we take the number 24,023,465 and divide it by 2:

24,023,465 ÷ 2 = 12,011,732.5

If the quotient is a whole number, then 2 and 12,011,732.5 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 24,023,465
-1 -24,023,465

Now, we try dividing 24,023,465 by 3:

24,023,465 ÷ 3 = 8,007,821.6667

If the quotient is a whole number, then 3 and 8,007,821.6667 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 24,023,465
-1 -24,023,465

Let's try dividing by 4:

24,023,465 ÷ 4 = 6,005,866.25

If the quotient is a whole number, then 4 and 6,005,866.25 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 24,023,465
-1 24,023,465
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852331,1651,2133,9616,06519,80520,621103,105282,6291,413,1454,804,69324,023,465
-1-5-17-85-233-1,165-1,213-3,961-6,065-19,805-20,621-103,105-282,629-1,413,145-4,804,693-24,023,465

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