Q: What are the factor combinations of the number 24,653,525?

 A:
Positive:   1 x 246535255 x 493070513 x 189642525 x 98614131 x 79527565 x 379285155 x 159055325 x 75857403 x 61175775 x 318112015 x 122352447 x 10075
Negative: -1 x -24653525-5 x -4930705-13 x -1896425-25 x -986141-31 x -795275-65 x -379285-155 x -159055-325 x -75857-403 x -61175-775 x -31811-2015 x -12235-2447 x -10075


How do I find the factor combinations of the number 24,653,525?

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 24,653,525, 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 24,653,525
-1 -24,653,525

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 24,653,525.

Example:
1 x 24,653,525 = 24,653,525
and
-1 x -24,653,525 = 24,653,525
Notice both answers equal 24,653,525

With that explanation out of the way, let's continue. Next, we take the number 24,653,525 and divide it by 2:

24,653,525 ÷ 2 = 12,326,762.5

If the quotient is a whole number, then 2 and 12,326,762.5 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 24,653,525
-1 -24,653,525

Now, we try dividing 24,653,525 by 3:

24,653,525 ÷ 3 = 8,217,841.6667

If the quotient is a whole number, then 3 and 8,217,841.6667 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 24,653,525
-1 -24,653,525

Let's try dividing by 4:

24,653,525 ÷ 4 = 6,163,381.25

If the quotient is a whole number, then 4 and 6,163,381.25 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 24,653,525
-1 24,653,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15132531651553254037752,0152,44710,07512,23531,81161,17575,857159,055379,285795,275986,1411,896,4254,930,70524,653,525
-1-5-13-25-31-65-155-325-403-775-2,015-2,447-10,075-12,235-31,811-61,175-75,857-159,055-379,285-795,275-986,141-1,896,425-4,930,705-24,653,525

More Examples

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