Q: What are the factor combinations of the number 24,760,001?

 A:
Positive:   1 x 247600017 x 3537143643 x 385074501 x 5501
Negative: -1 x -24760001-7 x -3537143-643 x -38507-4501 x -5501


How do I find the factor combinations of the number 24,760,001?

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 24,760,001, 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 24,760,001
-1 -24,760,001

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 24,760,001.

Example:
1 x 24,760,001 = 24,760,001
and
-1 x -24,760,001 = 24,760,001
Notice both answers equal 24,760,001

With that explanation out of the way, let's continue. Next, we take the number 24,760,001 and divide it by 2:

24,760,001 ÷ 2 = 12,380,000.5

If the quotient is a whole number, then 2 and 12,380,000.5 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 24,760,001
-1 -24,760,001

Now, we try dividing 24,760,001 by 3:

24,760,001 ÷ 3 = 8,253,333.6667

If the quotient is a whole number, then 3 and 8,253,333.6667 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 24,760,001
-1 -24,760,001

Let's try dividing by 4:

24,760,001 ÷ 4 = 6,190,000.25

If the quotient is a whole number, then 4 and 6,190,000.25 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 24,760,001
-1 24,760,001
Keep dividing by the next highest number until you cannot divide anymore.

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

176434,5015,50138,5073,537,14324,760,001
-1-7-643-4,501-5,501-38,507-3,537,143-24,760,001

More Examples

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