Q: What are the factor combinations of the number 24,180,155?

 A:
Positive:   1 x 241801555 x 483603131 x 78000573 x 331235155 x 156001365 x 662472137 x 113152263 x 10685
Negative: -1 x -24180155-5 x -4836031-31 x -780005-73 x -331235-155 x -156001-365 x -66247-2137 x -11315-2263 x -10685


How do I find the factor combinations of the number 24,180,155?

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 24,180,155, 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 24,180,155
-1 -24,180,155

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 24,180,155.

Example:
1 x 24,180,155 = 24,180,155
and
-1 x -24,180,155 = 24,180,155
Notice both answers equal 24,180,155

With that explanation out of the way, let's continue. Next, we take the number 24,180,155 and divide it by 2:

24,180,155 ÷ 2 = 12,090,077.5

If the quotient is a whole number, then 2 and 12,090,077.5 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 24,180,155
-1 -24,180,155

Now, we try dividing 24,180,155 by 3:

24,180,155 ÷ 3 = 8,060,051.6667

If the quotient is a whole number, then 3 and 8,060,051.6667 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 24,180,155
-1 -24,180,155

Let's try dividing by 4:

24,180,155 ÷ 4 = 6,045,038.75

If the quotient is a whole number, then 4 and 6,045,038.75 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 24,180,155
-1 24,180,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1531731553652,1372,26310,68511,31566,247156,001331,235780,0054,836,03124,180,155
-1-5-31-73-155-365-2,137-2,263-10,685-11,315-66,247-156,001-331,235-780,005-4,836,031-24,180,155

More Examples

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