Q: What are the factor combinations of the number 240,012,047?

 A:
Positive:   1 x 24001204711 x 2181927719 x 1263221397 x 2474351209 x 11483831067 x 2249411843 x 13022911839 x 20273
Negative: -1 x -240012047-11 x -21819277-19 x -12632213-97 x -2474351-209 x -1148383-1067 x -224941-1843 x -130229-11839 x -20273


How do I find the factor combinations of the number 240,012,047?

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 240,012,047, 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.

1 240,012,047
-1 -240,012,047

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 240,012,047.

Example:
1 x 240,012,047 = 240,012,047
and
-1 x -240,012,047 = 240,012,047
Notice both answers equal 240,012,047

With that explanation out of the way, let's continue. Next, we take the number 240,012,047 and divide it by 2:

240,012,047 ÷ 2 = 120,006,023.5

If the quotient is a whole number, then 2 and 120,006,023.5 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:

1 240,012,047
-1 -240,012,047

Now, we try dividing 240,012,047 by 3:

240,012,047 ÷ 3 = 80,004,015.6667

If the quotient is a whole number, then 3 and 80,004,015.6667 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:

1 240,012,047
-1 -240,012,047

Let's try dividing by 4:

240,012,047 ÷ 4 = 60,003,011.75

If the quotient is a whole number, then 4 and 60,003,011.75 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:

1 240,012,047
-1 240,012,047
Keep dividing by the next highest number until you cannot divide anymore.

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

11119972091,0671,84311,83920,273130,229224,9411,148,3832,474,35112,632,21321,819,277240,012,047
-1-11-19-97-209-1,067-1,843-11,839-20,273-130,229-224,941-1,148,383-2,474,351-12,632,213-21,819,277-240,012,047

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