Q: What are the factor combinations of the number 24,012,143?

 A:
Positive:   1 x 2401214317 x 141247919 x 1263797289 x 83087323 x 743414373 x 5491
Negative: -1 x -24012143-17 x -1412479-19 x -1263797-289 x -83087-323 x -74341-4373 x -5491


How do I find the factor combinations of the number 24,012,143?

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 24,012,143, 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 24,012,143
-1 -24,012,143

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 24,012,143.

Example:
1 x 24,012,143 = 24,012,143
and
-1 x -24,012,143 = 24,012,143
Notice both answers equal 24,012,143

With that explanation out of the way, let's continue. Next, we take the number 24,012,143 and divide it by 2:

24,012,143 ÷ 2 = 12,006,071.5

If the quotient is a whole number, then 2 and 12,006,071.5 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 24,012,143
-1 -24,012,143

Now, we try dividing 24,012,143 by 3:

24,012,143 ÷ 3 = 8,004,047.6667

If the quotient is a whole number, then 3 and 8,004,047.6667 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 24,012,143
-1 -24,012,143

Let's try dividing by 4:

24,012,143 ÷ 4 = 6,003,035.75

If the quotient is a whole number, then 4 and 6,003,035.75 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 24,012,143
-1 24,012,143
Keep dividing by the next highest number until you cannot divide anymore.

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

117192893234,3735,49174,34183,0871,263,7971,412,47924,012,143
-1-17-19-289-323-4,373-5,491-74,341-83,087-1,263,797-1,412,479-24,012,143

More Examples

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