Q: What are the factor combinations of the number 24,968,035?

 A:
Positive:   1 x 249680355 x 499360753 x 471095265 x 94219
Negative: -1 x -24968035-5 x -4993607-53 x -471095-265 x -94219


How do I find the factor combinations of the number 24,968,035?

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 24,968,035, 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 24,968,035
-1 -24,968,035

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 24,968,035.

Example:
1 x 24,968,035 = 24,968,035
and
-1 x -24,968,035 = 24,968,035
Notice both answers equal 24,968,035

With that explanation out of the way, let's continue. Next, we take the number 24,968,035 and divide it by 2:

24,968,035 ÷ 2 = 12,484,017.5

If the quotient is a whole number, then 2 and 12,484,017.5 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 24,968,035
-1 -24,968,035

Now, we try dividing 24,968,035 by 3:

24,968,035 ÷ 3 = 8,322,678.3333

If the quotient is a whole number, then 3 and 8,322,678.3333 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 24,968,035
-1 -24,968,035

Let's try dividing by 4:

24,968,035 ÷ 4 = 6,242,008.75

If the quotient is a whole number, then 4 and 6,242,008.75 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 24,968,035
-1 24,968,035
Keep dividing by the next highest number until you cannot divide anymore.

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

155326594,219471,0954,993,60724,968,035
-1-5-53-265-94,219-471,095-4,993,607-24,968,035

More Examples

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