Q: What are the factor combinations of the number 24,105,035?

 A:
Positive:   1 x 241050355 x 482100723 x 1048045115 x 209609179 x 134665895 x 269331171 x 205854117 x 5855
Negative: -1 x -24105035-5 x -4821007-23 x -1048045-115 x -209609-179 x -134665-895 x -26933-1171 x -20585-4117 x -5855


How do I find the factor combinations of the number 24,105,035?

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 24,105,035, 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 24,105,035
-1 -24,105,035

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 24,105,035.

Example:
1 x 24,105,035 = 24,105,035
and
-1 x -24,105,035 = 24,105,035
Notice both answers equal 24,105,035

With that explanation out of the way, let's continue. Next, we take the number 24,105,035 and divide it by 2:

24,105,035 ÷ 2 = 12,052,517.5

If the quotient is a whole number, then 2 and 12,052,517.5 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 24,105,035
-1 -24,105,035

Now, we try dividing 24,105,035 by 3:

24,105,035 ÷ 3 = 8,035,011.6667

If the quotient is a whole number, then 3 and 8,035,011.6667 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 24,105,035
-1 -24,105,035

Let's try dividing by 4:

24,105,035 ÷ 4 = 6,026,258.75

If the quotient is a whole number, then 4 and 6,026,258.75 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 24,105,035
-1 24,105,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151798951,1714,1175,85520,58526,933134,665209,6091,048,0454,821,00724,105,035
-1-5-23-115-179-895-1,171-4,117-5,855-20,585-26,933-134,665-209,609-1,048,045-4,821,007-24,105,035

More Examples

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