Q: What are the factor combinations of the number 24,949,273?

 A:
Positive:   1 x 2494927323 x 108475153 x 47074197 x 257209211 x 1182431219 x 204672231 x 111834853 x 5141
Negative: -1 x -24949273-23 x -1084751-53 x -470741-97 x -257209-211 x -118243-1219 x -20467-2231 x -11183-4853 x -5141


How do I find the factor combinations of the number 24,949,273?

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 24,949,273, 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 24,949,273
-1 -24,949,273

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 24,949,273.

Example:
1 x 24,949,273 = 24,949,273
and
-1 x -24,949,273 = 24,949,273
Notice both answers equal 24,949,273

With that explanation out of the way, let's continue. Next, we take the number 24,949,273 and divide it by 2:

24,949,273 ÷ 2 = 12,474,636.5

If the quotient is a whole number, then 2 and 12,474,636.5 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 24,949,273
-1 -24,949,273

Now, we try dividing 24,949,273 by 3:

24,949,273 ÷ 3 = 8,316,424.3333

If the quotient is a whole number, then 3 and 8,316,424.3333 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 24,949,273
-1 -24,949,273

Let's try dividing by 4:

24,949,273 ÷ 4 = 6,237,318.25

If the quotient is a whole number, then 4 and 6,237,318.25 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 24,949,273
-1 24,949,273
Keep dividing by the next highest number until you cannot divide anymore.

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

12353972111,2192,2314,8535,14111,18320,467118,243257,209470,7411,084,75124,949,273
-1-23-53-97-211-1,219-2,231-4,853-5,141-11,183-20,467-118,243-257,209-470,741-1,084,751-24,949,273

More Examples

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