Q: What are the factor combinations of the number 24,157,817?

 A:
Positive:   1 x 2415781773 x 330929149 x 1621332221 x 10877
Negative: -1 x -24157817-73 x -330929-149 x -162133-2221 x -10877


How do I find the factor combinations of the number 24,157,817?

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 24,157,817, 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 24,157,817
-1 -24,157,817

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 24,157,817.

Example:
1 x 24,157,817 = 24,157,817
and
-1 x -24,157,817 = 24,157,817
Notice both answers equal 24,157,817

With that explanation out of the way, let's continue. Next, we take the number 24,157,817 and divide it by 2:

24,157,817 ÷ 2 = 12,078,908.5

If the quotient is a whole number, then 2 and 12,078,908.5 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 24,157,817
-1 -24,157,817

Now, we try dividing 24,157,817 by 3:

24,157,817 ÷ 3 = 8,052,605.6667

If the quotient is a whole number, then 3 and 8,052,605.6667 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 24,157,817
-1 -24,157,817

Let's try dividing by 4:

24,157,817 ÷ 4 = 6,039,454.25

If the quotient is a whole number, then 4 and 6,039,454.25 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 24,157,817
-1 24,157,817
Keep dividing by the next highest number until you cannot divide anymore.

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

1731492,22110,877162,133330,92924,157,817
-1-73-149-2,221-10,877-162,133-330,929-24,157,817

More Examples

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