Q: What are the factor combinations of the number 24,143,207?

 A:
Positive:   1 x 2414320711 x 2194837541 x 446274057 x 5951
Negative: -1 x -24143207-11 x -2194837-541 x -44627-4057 x -5951


How do I find the factor combinations of the number 24,143,207?

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 24,143,207, 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 24,143,207
-1 -24,143,207

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 24,143,207.

Example:
1 x 24,143,207 = 24,143,207
and
-1 x -24,143,207 = 24,143,207
Notice both answers equal 24,143,207

With that explanation out of the way, let's continue. Next, we take the number 24,143,207 and divide it by 2:

24,143,207 ÷ 2 = 12,071,603.5

If the quotient is a whole number, then 2 and 12,071,603.5 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 24,143,207
-1 -24,143,207

Now, we try dividing 24,143,207 by 3:

24,143,207 ÷ 3 = 8,047,735.6667

If the quotient is a whole number, then 3 and 8,047,735.6667 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 24,143,207
-1 -24,143,207

Let's try dividing by 4:

24,143,207 ÷ 4 = 6,035,801.75

If the quotient is a whole number, then 4 and 6,035,801.75 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 24,143,207
-1 24,143,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1115414,0575,95144,6272,194,83724,143,207
-1-11-541-4,057-5,951-44,627-2,194,837-24,143,207

More Examples

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