Q: What are the factor combinations of the number 234,542,143?

 A:
Positive:   1 x 23454214311 x 2132201367 x 3500629157 x 1493899737 x 3182391727 x 1358092027 x 11570910519 x 22297
Negative: -1 x -234542143-11 x -21322013-67 x -3500629-157 x -1493899-737 x -318239-1727 x -135809-2027 x -115709-10519 x -22297


How do I find the factor combinations of the number 234,542,143?

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 234,542,143, 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.

1 234,542,143
-1 -234,542,143

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 234,542,143.

Example:
1 x 234,542,143 = 234,542,143
and
-1 x -234,542,143 = 234,542,143
Notice both answers equal 234,542,143

With that explanation out of the way, let's continue. Next, we take the number 234,542,143 and divide it by 2:

234,542,143 ÷ 2 = 117,271,071.5

If the quotient is a whole number, then 2 and 117,271,071.5 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:

1 234,542,143
-1 -234,542,143

Now, we try dividing 234,542,143 by 3:

234,542,143 ÷ 3 = 78,180,714.3333

If the quotient is a whole number, then 3 and 78,180,714.3333 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:

1 234,542,143
-1 -234,542,143

Let's try dividing by 4:

234,542,143 ÷ 4 = 58,635,535.75

If the quotient is a whole number, then 4 and 58,635,535.75 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:

1 234,542,143
-1 234,542,143
Keep dividing by the next highest number until you cannot divide anymore.

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

111671577371,7272,02710,51922,297115,709135,809318,2391,493,8993,500,62921,322,013234,542,143
-1-11-67-157-737-1,727-2,027-10,519-22,297-115,709-135,809-318,239-1,493,899-3,500,629-21,322,013-234,542,143

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