Q: What are the factor combinations of the number 24,025,001?

 A:
Positive:   1 x 240250017 x 343214311 x 218409113 x 184807777 x 31201391 x 264011143 x 1680071001 x 24001
Negative: -1 x -24025001-7 x -3432143-11 x -2184091-13 x -1848077-77 x -312013-91 x -264011-143 x -168007-1001 x -24001


How do I find the factor combinations of the number 24,025,001?

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 24,025,001, 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 24,025,001
-1 -24,025,001

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 24,025,001.

Example:
1 x 24,025,001 = 24,025,001
and
-1 x -24,025,001 = 24,025,001
Notice both answers equal 24,025,001

With that explanation out of the way, let's continue. Next, we take the number 24,025,001 and divide it by 2:

24,025,001 ÷ 2 = 12,012,500.5

If the quotient is a whole number, then 2 and 12,012,500.5 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 24,025,001
-1 -24,025,001

Now, we try dividing 24,025,001 by 3:

24,025,001 ÷ 3 = 8,008,333.6667

If the quotient is a whole number, then 3 and 8,008,333.6667 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 24,025,001
-1 -24,025,001

Let's try dividing by 4:

24,025,001 ÷ 4 = 6,006,250.25

If the quotient is a whole number, then 4 and 6,006,250.25 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 24,025,001
-1 24,025,001
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,00124,001168,007264,011312,0131,848,0772,184,0913,432,14324,025,001
-1-7-11-13-77-91-143-1,001-24,001-168,007-264,011-312,013-1,848,077-2,184,091-3,432,143-24,025,001

More Examples

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