Q: What are the factor combinations of the number 24,102,035?

 A:
Positive:   1 x 241020355 x 482040731 x 777485131 x 183985155 x 155497655 x 367971187 x 203054061 x 5935
Negative: -1 x -24102035-5 x -4820407-31 x -777485-131 x -183985-155 x -155497-655 x -36797-1187 x -20305-4061 x -5935


How do I find the factor combinations of the number 24,102,035?

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 24,102,035, 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 24,102,035
-1 -24,102,035

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 24,102,035.

Example:
1 x 24,102,035 = 24,102,035
and
-1 x -24,102,035 = 24,102,035
Notice both answers equal 24,102,035

With that explanation out of the way, let's continue. Next, we take the number 24,102,035 and divide it by 2:

24,102,035 ÷ 2 = 12,051,017.5

If the quotient is a whole number, then 2 and 12,051,017.5 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 24,102,035
-1 -24,102,035

Now, we try dividing 24,102,035 by 3:

24,102,035 ÷ 3 = 8,034,011.6667

If the quotient is a whole number, then 3 and 8,034,011.6667 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 24,102,035
-1 -24,102,035

Let's try dividing by 4:

24,102,035 ÷ 4 = 6,025,508.75

If the quotient is a whole number, then 4 and 6,025,508.75 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 24,102,035
-1 24,102,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15311311556551,1874,0615,93520,30536,797155,497183,985777,4854,820,40724,102,035
-1-5-31-131-155-655-1,187-4,061-5,935-20,305-36,797-155,497-183,985-777,485-4,820,407-24,102,035

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