Q: What are the factor combinations of the number 24,207,001?

 A:
Positive:   1 x 242070017 x 345814313 x 186207731 x 78087191 x 266011217 x 111553403 x 600672821 x 8581
Negative: -1 x -24207001-7 x -3458143-13 x -1862077-31 x -780871-91 x -266011-217 x -111553-403 x -60067-2821 x -8581


How do I find the factor combinations of the number 24,207,001?

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 24,207,001, 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 24,207,001
-1 -24,207,001

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 24,207,001.

Example:
1 x 24,207,001 = 24,207,001
and
-1 x -24,207,001 = 24,207,001
Notice both answers equal 24,207,001

With that explanation out of the way, let's continue. Next, we take the number 24,207,001 and divide it by 2:

24,207,001 ÷ 2 = 12,103,500.5

If the quotient is a whole number, then 2 and 12,103,500.5 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 24,207,001
-1 -24,207,001

Now, we try dividing 24,207,001 by 3:

24,207,001 ÷ 3 = 8,069,000.3333

If the quotient is a whole number, then 3 and 8,069,000.3333 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 24,207,001
-1 -24,207,001

Let's try dividing by 4:

24,207,001 ÷ 4 = 6,051,750.25

If the quotient is a whole number, then 4 and 6,051,750.25 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 24,207,001
-1 24,207,001
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,8218,58160,067111,553266,011780,8711,862,0773,458,14324,207,001
-1-7-13-31-91-217-403-2,821-8,581-60,067-111,553-266,011-780,871-1,862,077-3,458,143-24,207,001

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