Q: What are the factor combinations of the number 24,143,203?

 A:
Positive:   1 x 241432037 x 344902931 x 77881337 x 65251997 x 248899217 x 111259259 x 93217679 x 35557961 x 251231147 x 210493007 x 80293589 x 6727
Negative: -1 x -24143203-7 x -3449029-31 x -778813-37 x -652519-97 x -248899-217 x -111259-259 x -93217-679 x -35557-961 x -25123-1147 x -21049-3007 x -8029-3589 x -6727


How do I find the factor combinations of the number 24,143,203?

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 24,143,203, 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 24,143,203
-1 -24,143,203

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 24,143,203.

Example:
1 x 24,143,203 = 24,143,203
and
-1 x -24,143,203 = 24,143,203
Notice both answers equal 24,143,203

With that explanation out of the way, let's continue. Next, we take the number 24,143,203 and divide it by 2:

24,143,203 ÷ 2 = 12,071,601.5

If the quotient is a whole number, then 2 and 12,071,601.5 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 24,143,203
-1 -24,143,203

Now, we try dividing 24,143,203 by 3:

24,143,203 ÷ 3 = 8,047,734.3333

If the quotient is a whole number, then 3 and 8,047,734.3333 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 24,143,203
-1 -24,143,203

Let's try dividing by 4:

24,143,203 ÷ 4 = 6,035,800.75

If the quotient is a whole number, then 4 and 6,035,800.75 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 24,143,203
-1 24,143,203
Keep dividing by the next highest number until you cannot divide anymore.

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

173137972172596799611,1473,0073,5896,7278,02921,04925,12335,55793,217111,259248,899652,519778,8133,449,02924,143,203
-1-7-31-37-97-217-259-679-961-1,147-3,007-3,589-6,727-8,029-21,049-25,123-35,557-93,217-111,259-248,899-652,519-778,813-3,449,029-24,143,203

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