Q: What are the factor combinations of the number 24,463,145?

 A:
Positive:   1 x 244631455 x 48926297 x 349473523 x 106361535 x 698947115 x 212723161 x 151945805 x 30389
Negative: -1 x -24463145-5 x -4892629-7 x -3494735-23 x -1063615-35 x -698947-115 x -212723-161 x -151945-805 x -30389


How do I find the factor combinations of the number 24,463,145?

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 24,463,145, 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 24,463,145
-1 -24,463,145

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 24,463,145.

Example:
1 x 24,463,145 = 24,463,145
and
-1 x -24,463,145 = 24,463,145
Notice both answers equal 24,463,145

With that explanation out of the way, let's continue. Next, we take the number 24,463,145 and divide it by 2:

24,463,145 ÷ 2 = 12,231,572.5

If the quotient is a whole number, then 2 and 12,231,572.5 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 24,463,145
-1 -24,463,145

Now, we try dividing 24,463,145 by 3:

24,463,145 ÷ 3 = 8,154,381.6667

If the quotient is a whole number, then 3 and 8,154,381.6667 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 24,463,145
-1 -24,463,145

Let's try dividing by 4:

24,463,145 ÷ 4 = 6,115,786.25

If the quotient is a whole number, then 4 and 6,115,786.25 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 24,463,145
-1 24,463,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180530,389151,945212,723698,9471,063,6153,494,7354,892,62924,463,145
-1-5-7-23-35-115-161-805-30,389-151,945-212,723-698,947-1,063,615-3,494,735-4,892,629-24,463,145

More Examples

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