Q: What are the factor combinations of the number 24,323,141?

 A:
Positive:   1 x 2432314117 x 143077329 x 838729103 x 236147479 x 50779493 x 493371751 x 138912987 x 8143
Negative: -1 x -24323141-17 x -1430773-29 x -838729-103 x -236147-479 x -50779-493 x -49337-1751 x -13891-2987 x -8143


How do I find the factor combinations of the number 24,323,141?

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 24,323,141, 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 24,323,141
-1 -24,323,141

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 24,323,141.

Example:
1 x 24,323,141 = 24,323,141
and
-1 x -24,323,141 = 24,323,141
Notice both answers equal 24,323,141

With that explanation out of the way, let's continue. Next, we take the number 24,323,141 and divide it by 2:

24,323,141 ÷ 2 = 12,161,570.5

If the quotient is a whole number, then 2 and 12,161,570.5 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 24,323,141
-1 -24,323,141

Now, we try dividing 24,323,141 by 3:

24,323,141 ÷ 3 = 8,107,713.6667

If the quotient is a whole number, then 3 and 8,107,713.6667 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 24,323,141
-1 -24,323,141

Let's try dividing by 4:

24,323,141 ÷ 4 = 6,080,785.25

If the quotient is a whole number, then 4 and 6,080,785.25 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 24,323,141
-1 24,323,141
Keep dividing by the next highest number until you cannot divide anymore.

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

117291034794931,7512,9878,14313,89149,33750,779236,147838,7291,430,77324,323,141
-1-17-29-103-479-493-1,751-2,987-8,143-13,891-49,337-50,779-236,147-838,729-1,430,773-24,323,141

More Examples

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