Q: What are the factor combinations of the number 24,509,651?

 A:
Positive:   1 x 2450965123 x 106563737 x 66242383 x 295297347 x 70633851 x 288011909 x 128393071 x 7981
Negative: -1 x -24509651-23 x -1065637-37 x -662423-83 x -295297-347 x -70633-851 x -28801-1909 x -12839-3071 x -7981


How do I find the factor combinations of the number 24,509,651?

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 24,509,651, 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 24,509,651
-1 -24,509,651

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 24,509,651.

Example:
1 x 24,509,651 = 24,509,651
and
-1 x -24,509,651 = 24,509,651
Notice both answers equal 24,509,651

With that explanation out of the way, let's continue. Next, we take the number 24,509,651 and divide it by 2:

24,509,651 ÷ 2 = 12,254,825.5

If the quotient is a whole number, then 2 and 12,254,825.5 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 24,509,651
-1 -24,509,651

Now, we try dividing 24,509,651 by 3:

24,509,651 ÷ 3 = 8,169,883.6667

If the quotient is a whole number, then 3 and 8,169,883.6667 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 24,509,651
-1 -24,509,651

Let's try dividing by 4:

24,509,651 ÷ 4 = 6,127,412.75

If the quotient is a whole number, then 4 and 6,127,412.75 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 24,509,651
-1 24,509,651
Keep dividing by the next highest number until you cannot divide anymore.

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

12337833478511,9093,0717,98112,83928,80170,633295,297662,4231,065,63724,509,651
-1-23-37-83-347-851-1,909-3,071-7,981-12,839-28,801-70,633-295,297-662,423-1,065,637-24,509,651

More Examples

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