Q: What are the factor combinations of the number 24,613,477?

 A:
Positive:   1 x 246134777 x 351621147 x 52369179 x 311563329 x 74813553 x 44509947 x 259913713 x 6629
Negative: -1 x -24613477-7 x -3516211-47 x -523691-79 x -311563-329 x -74813-553 x -44509-947 x -25991-3713 x -6629


How do I find the factor combinations of the number 24,613,477?

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 24,613,477, 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 24,613,477
-1 -24,613,477

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 24,613,477.

Example:
1 x 24,613,477 = 24,613,477
and
-1 x -24,613,477 = 24,613,477
Notice both answers equal 24,613,477

With that explanation out of the way, let's continue. Next, we take the number 24,613,477 and divide it by 2:

24,613,477 ÷ 2 = 12,306,738.5

If the quotient is a whole number, then 2 and 12,306,738.5 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 24,613,477
-1 -24,613,477

Now, we try dividing 24,613,477 by 3:

24,613,477 ÷ 3 = 8,204,492.3333

If the quotient is a whole number, then 3 and 8,204,492.3333 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 24,613,477
-1 -24,613,477

Let's try dividing by 4:

24,613,477 ÷ 4 = 6,153,369.25

If the quotient is a whole number, then 4 and 6,153,369.25 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 24,613,477
-1 24,613,477
Keep dividing by the next highest number until you cannot divide anymore.

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

1747793295539473,7136,62925,99144,50974,813311,563523,6913,516,21124,613,477
-1-7-47-79-329-553-947-3,713-6,629-25,991-44,509-74,813-311,563-523,691-3,516,211-24,613,477

More Examples

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