Q: What are the factor combinations of the number 24,470,255?

 A:
Positive:   1 x 244702555 x 4894051137 x 178615139 x 176045257 x 95215685 x 35723695 x 352091285 x 19043
Negative: -1 x -24470255-5 x -4894051-137 x -178615-139 x -176045-257 x -95215-685 x -35723-695 x -35209-1285 x -19043


How do I find the factor combinations of the number 24,470,255?

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 24,470,255, 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 24,470,255
-1 -24,470,255

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 24,470,255.

Example:
1 x 24,470,255 = 24,470,255
and
-1 x -24,470,255 = 24,470,255
Notice both answers equal 24,470,255

With that explanation out of the way, let's continue. Next, we take the number 24,470,255 and divide it by 2:

24,470,255 ÷ 2 = 12,235,127.5

If the quotient is a whole number, then 2 and 12,235,127.5 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 24,470,255
-1 -24,470,255

Now, we try dividing 24,470,255 by 3:

24,470,255 ÷ 3 = 8,156,751.6667

If the quotient is a whole number, then 3 and 8,156,751.6667 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 24,470,255
-1 -24,470,255

Let's try dividing by 4:

24,470,255 ÷ 4 = 6,117,563.75

If the quotient is a whole number, then 4 and 6,117,563.75 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 24,470,255
-1 24,470,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151371392576856951,28519,04335,20935,72395,215176,045178,6154,894,05124,470,255
-1-5-137-139-257-685-695-1,285-19,043-35,209-35,723-95,215-176,045-178,615-4,894,051-24,470,255

More Examples

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