Q: What are the factor combinations of the number 24,455,509?

 A:
Positive:   1 x 2445550913 x 188119323 x 106328389 x 274781299 x 81791919 x 266111157 x 211372047 x 11947
Negative: -1 x -24455509-13 x -1881193-23 x -1063283-89 x -274781-299 x -81791-919 x -26611-1157 x -21137-2047 x -11947


How do I find the factor combinations of the number 24,455,509?

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 24,455,509, 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 24,455,509
-1 -24,455,509

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 24,455,509.

Example:
1 x 24,455,509 = 24,455,509
and
-1 x -24,455,509 = 24,455,509
Notice both answers equal 24,455,509

With that explanation out of the way, let's continue. Next, we take the number 24,455,509 and divide it by 2:

24,455,509 ÷ 2 = 12,227,754.5

If the quotient is a whole number, then 2 and 12,227,754.5 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 24,455,509
-1 -24,455,509

Now, we try dividing 24,455,509 by 3:

24,455,509 ÷ 3 = 8,151,836.3333

If the quotient is a whole number, then 3 and 8,151,836.3333 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 24,455,509
-1 -24,455,509

Let's try dividing by 4:

24,455,509 ÷ 4 = 6,113,877.25

If the quotient is a whole number, then 4 and 6,113,877.25 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 24,455,509
-1 24,455,509
Keep dividing by the next highest number until you cannot divide anymore.

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

11323892999191,1572,04711,94721,13726,61181,791274,7811,063,2831,881,19324,455,509
-1-13-23-89-299-919-1,157-2,047-11,947-21,137-26,611-81,791-274,781-1,063,283-1,881,193-24,455,509

More Examples

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