Q: What are the factor combinations of the number 24,324,145?

 A:
Positive:   1 x 243241455 x 486482947 x 51753589 x 273305235 x 103507445 x 546611163 x 209154183 x 5815
Negative: -1 x -24324145-5 x -4864829-47 x -517535-89 x -273305-235 x -103507-445 x -54661-1163 x -20915-4183 x -5815


How do I find the factor combinations of the number 24,324,145?

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 24,324,145, 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 24,324,145
-1 -24,324,145

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 24,324,145.

Example:
1 x 24,324,145 = 24,324,145
and
-1 x -24,324,145 = 24,324,145
Notice both answers equal 24,324,145

With that explanation out of the way, let's continue. Next, we take the number 24,324,145 and divide it by 2:

24,324,145 ÷ 2 = 12,162,072.5

If the quotient is a whole number, then 2 and 12,162,072.5 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 24,324,145
-1 -24,324,145

Now, we try dividing 24,324,145 by 3:

24,324,145 ÷ 3 = 8,108,048.3333

If the quotient is a whole number, then 3 and 8,108,048.3333 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 24,324,145
-1 -24,324,145

Let's try dividing by 4:

24,324,145 ÷ 4 = 6,081,036.25

If the quotient is a whole number, then 4 and 6,081,036.25 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 24,324,145
-1 24,324,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1547892354451,1634,1835,81520,91554,661103,507273,305517,5354,864,82924,324,145
-1-5-47-89-235-445-1,163-4,183-5,815-20,915-54,661-103,507-273,305-517,535-4,864,829-24,324,145

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