Q: What are the factor combinations of the number 24,537,835?

 A:
Positive:   1 x 245378355 x 49075677 x 350540519 x 129146535 x 70108195 x 258293133 x 184495665 x 36899
Negative: -1 x -24537835-5 x -4907567-7 x -3505405-19 x -1291465-35 x -701081-95 x -258293-133 x -184495-665 x -36899


How do I find the factor combinations of the number 24,537,835?

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 24,537,835, 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 24,537,835
-1 -24,537,835

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 24,537,835.

Example:
1 x 24,537,835 = 24,537,835
and
-1 x -24,537,835 = 24,537,835
Notice both answers equal 24,537,835

With that explanation out of the way, let's continue. Next, we take the number 24,537,835 and divide it by 2:

24,537,835 ÷ 2 = 12,268,917.5

If the quotient is a whole number, then 2 and 12,268,917.5 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 24,537,835
-1 -24,537,835

Now, we try dividing 24,537,835 by 3:

24,537,835 ÷ 3 = 8,179,278.3333

If the quotient is a whole number, then 3 and 8,179,278.3333 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 24,537,835
-1 -24,537,835

Let's try dividing by 4:

24,537,835 ÷ 4 = 6,134,458.75

If the quotient is a whole number, then 4 and 6,134,458.75 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 24,537,835
-1 24,537,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366536,899184,495258,293701,0811,291,4653,505,4054,907,56724,537,835
-1-5-7-19-35-95-133-665-36,899-184,495-258,293-701,081-1,291,465-3,505,405-4,907,567-24,537,835

More Examples

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