Q: What are the factor combinations of the number 24,074,855?

 A:
Positive:   1 x 240748555 x 48149717 x 343926535 x 68785379 x 304745395 x 60949553 x 435352765 x 8707
Negative: -1 x -24074855-5 x -4814971-7 x -3439265-35 x -687853-79 x -304745-395 x -60949-553 x -43535-2765 x -8707


How do I find the factor combinations of the number 24,074,855?

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 24,074,855, 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 24,074,855
-1 -24,074,855

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 24,074,855.

Example:
1 x 24,074,855 = 24,074,855
and
-1 x -24,074,855 = 24,074,855
Notice both answers equal 24,074,855

With that explanation out of the way, let's continue. Next, we take the number 24,074,855 and divide it by 2:

24,074,855 ÷ 2 = 12,037,427.5

If the quotient is a whole number, then 2 and 12,037,427.5 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 24,074,855
-1 -24,074,855

Now, we try dividing 24,074,855 by 3:

24,074,855 ÷ 3 = 8,024,951.6667

If the quotient is a whole number, then 3 and 8,024,951.6667 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 24,074,855
-1 -24,074,855

Let's try dividing by 4:

24,074,855 ÷ 4 = 6,018,713.75

If the quotient is a whole number, then 4 and 6,018,713.75 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 24,074,855
-1 24,074,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,7658,70743,53560,949304,745687,8533,439,2654,814,97124,074,855
-1-5-7-35-79-395-553-2,765-8,707-43,535-60,949-304,745-687,853-3,439,265-4,814,971-24,074,855

More Examples

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