Q: What are the factor combinations of the number 23,426,143?

 A:
Positive:   1 x 2342614313 x 180201137 x 633139113 x 207311431 x 54353481 x 487031469 x 159474181 x 5603
Negative: -1 x -23426143-13 x -1802011-37 x -633139-113 x -207311-431 x -54353-481 x -48703-1469 x -15947-4181 x -5603


How do I find the factor combinations of the number 23,426,143?

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 23,426,143, 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 23,426,143
-1 -23,426,143

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 23,426,143.

Example:
1 x 23,426,143 = 23,426,143
and
-1 x -23,426,143 = 23,426,143
Notice both answers equal 23,426,143

With that explanation out of the way, let's continue. Next, we take the number 23,426,143 and divide it by 2:

23,426,143 ÷ 2 = 11,713,071.5

If the quotient is a whole number, then 2 and 11,713,071.5 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 23,426,143
-1 -23,426,143

Now, we try dividing 23,426,143 by 3:

23,426,143 ÷ 3 = 7,808,714.3333

If the quotient is a whole number, then 3 and 7,808,714.3333 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 23,426,143
-1 -23,426,143

Let's try dividing by 4:

23,426,143 ÷ 4 = 5,856,535.75

If the quotient is a whole number, then 4 and 5,856,535.75 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 23,426,143
-1 23,426,143
Keep dividing by the next highest number until you cannot divide anymore.

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

113371134314811,4694,1815,60315,94748,70354,353207,311633,1391,802,01123,426,143
-1-13-37-113-431-481-1,469-4,181-5,603-15,947-48,703-54,353-207,311-633,139-1,802,011-23,426,143

More Examples

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