Q: What are the factor combinations of the number 24,107,195?

 A:
Positive:   1 x 241071955 x 48214397 x 344388535 x 688777
Negative: -1 x -24107195-5 x -4821439-7 x -3443885-35 x -688777


How do I find the factor combinations of the number 24,107,195?

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 24,107,195, 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 24,107,195
-1 -24,107,195

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 24,107,195.

Example:
1 x 24,107,195 = 24,107,195
and
-1 x -24,107,195 = 24,107,195
Notice both answers equal 24,107,195

With that explanation out of the way, let's continue. Next, we take the number 24,107,195 and divide it by 2:

24,107,195 ÷ 2 = 12,053,597.5

If the quotient is a whole number, then 2 and 12,053,597.5 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 24,107,195
-1 -24,107,195

Now, we try dividing 24,107,195 by 3:

24,107,195 ÷ 3 = 8,035,731.6667

If the quotient is a whole number, then 3 and 8,035,731.6667 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 24,107,195
-1 -24,107,195

Let's try dividing by 4:

24,107,195 ÷ 4 = 6,026,798.75

If the quotient is a whole number, then 4 and 6,026,798.75 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 24,107,195
-1 24,107,195
Keep dividing by the next highest number until you cannot divide anymore.

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

15735688,7773,443,8854,821,43924,107,195
-1-5-7-35-688,777-3,443,885-4,821,439-24,107,195

More Examples

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