Q: What are the factor combinations of the number 24,573,715?

 A:
Positive:   1 x 245737155 x 491474347 x 52284553 x 463655235 x 104569265 x 927311973 x 124552491 x 9865
Negative: -1 x -24573715-5 x -4914743-47 x -522845-53 x -463655-235 x -104569-265 x -92731-1973 x -12455-2491 x -9865


How do I find the factor combinations of the number 24,573,715?

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 24,573,715, 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 24,573,715
-1 -24,573,715

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 24,573,715.

Example:
1 x 24,573,715 = 24,573,715
and
-1 x -24,573,715 = 24,573,715
Notice both answers equal 24,573,715

With that explanation out of the way, let's continue. Next, we take the number 24,573,715 and divide it by 2:

24,573,715 ÷ 2 = 12,286,857.5

If the quotient is a whole number, then 2 and 12,286,857.5 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 24,573,715
-1 -24,573,715

Now, we try dividing 24,573,715 by 3:

24,573,715 ÷ 3 = 8,191,238.3333

If the quotient is a whole number, then 3 and 8,191,238.3333 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 24,573,715
-1 -24,573,715

Let's try dividing by 4:

24,573,715 ÷ 4 = 6,143,428.75

If the quotient is a whole number, then 4 and 6,143,428.75 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 24,573,715
-1 24,573,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1547532352651,9732,4919,86512,45592,731104,569463,655522,8454,914,74324,573,715
-1-5-47-53-235-265-1,973-2,491-9,865-12,455-92,731-104,569-463,655-522,845-4,914,743-24,573,715

More Examples

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