Q: What are the factor combinations of the number 240,236,437?

 A:
Positive:   1 x 2402364377 x 3431949119 x 12644023133 x 1806289179 x 13421031253 x 1917293401 x 7063710091 x 23807
Negative: -1 x -240236437-7 x -34319491-19 x -12644023-133 x -1806289-179 x -1342103-1253 x -191729-3401 x -70637-10091 x -23807


How do I find the factor combinations of the number 240,236,437?

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 240,236,437, 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.

1 240,236,437
-1 -240,236,437

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 240,236,437.

Example:
1 x 240,236,437 = 240,236,437
and
-1 x -240,236,437 = 240,236,437
Notice both answers equal 240,236,437

With that explanation out of the way, let's continue. Next, we take the number 240,236,437 and divide it by 2:

240,236,437 ÷ 2 = 120,118,218.5

If the quotient is a whole number, then 2 and 120,118,218.5 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:

1 240,236,437
-1 -240,236,437

Now, we try dividing 240,236,437 by 3:

240,236,437 ÷ 3 = 80,078,812.3333

If the quotient is a whole number, then 3 and 80,078,812.3333 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:

1 240,236,437
-1 -240,236,437

Let's try dividing by 4:

240,236,437 ÷ 4 = 60,059,109.25

If the quotient is a whole number, then 4 and 60,059,109.25 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:

1 240,236,437
-1 240,236,437
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331791,2533,40110,09123,80770,637191,7291,342,1031,806,28912,644,02334,319,491240,236,437
-1-7-19-133-179-1,253-3,401-10,091-23,807-70,637-191,729-1,342,103-1,806,289-12,644,023-34,319,491-240,236,437

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