Q: What are the factor combinations of the number 24,524,269?

 A:
Positive:   1 x 245242697 x 350346711 x 222947919 x 129075177 x 318497133 x 184393209 x 1173411463 x 16763
Negative: -1 x -24524269-7 x -3503467-11 x -2229479-19 x -1290751-77 x -318497-133 x -184393-209 x -117341-1463 x -16763


How do I find the factor combinations of the number 24,524,269?

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 24,524,269, 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 24,524,269
-1 -24,524,269

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 24,524,269.

Example:
1 x 24,524,269 = 24,524,269
and
-1 x -24,524,269 = 24,524,269
Notice both answers equal 24,524,269

With that explanation out of the way, let's continue. Next, we take the number 24,524,269 and divide it by 2:

24,524,269 ÷ 2 = 12,262,134.5

If the quotient is a whole number, then 2 and 12,262,134.5 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 24,524,269
-1 -24,524,269

Now, we try dividing 24,524,269 by 3:

24,524,269 ÷ 3 = 8,174,756.3333

If the quotient is a whole number, then 3 and 8,174,756.3333 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 24,524,269
-1 -24,524,269

Let's try dividing by 4:

24,524,269 ÷ 4 = 6,131,067.25

If the quotient is a whole number, then 4 and 6,131,067.25 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 24,524,269
-1 24,524,269
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,46316,763117,341184,393318,4971,290,7512,229,4793,503,46724,524,269
-1-7-11-19-77-133-209-1,463-16,763-117,341-184,393-318,497-1,290,751-2,229,479-3,503,467-24,524,269

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