Q: What are the factor combinations of the number 233,014,423?

 A:
Positive:   1 x 23301442319 x 1226391759 x 3949397109 x 21377471121 x 2078631907 x 1221892071 x 1125136431 x 36233
Negative: -1 x -233014423-19 x -12263917-59 x -3949397-109 x -2137747-1121 x -207863-1907 x -122189-2071 x -112513-6431 x -36233


How do I find the factor combinations of the number 233,014,423?

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 233,014,423, 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.

1 233,014,423
-1 -233,014,423

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 233,014,423.

Example:
1 x 233,014,423 = 233,014,423
and
-1 x -233,014,423 = 233,014,423
Notice both answers equal 233,014,423

With that explanation out of the way, let's continue. Next, we take the number 233,014,423 and divide it by 2:

233,014,423 ÷ 2 = 116,507,211.5

If the quotient is a whole number, then 2 and 116,507,211.5 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:

1 233,014,423
-1 -233,014,423

Now, we try dividing 233,014,423 by 3:

233,014,423 ÷ 3 = 77,671,474.3333

If the quotient is a whole number, then 3 and 77,671,474.3333 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:

1 233,014,423
-1 -233,014,423

Let's try dividing by 4:

233,014,423 ÷ 4 = 58,253,605.75

If the quotient is a whole number, then 4 and 58,253,605.75 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:

1 233,014,423
-1 233,014,423
Keep dividing by the next highest number until you cannot divide anymore.

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

119591091,1211,9072,0716,43136,233112,513122,189207,8632,137,7473,949,39712,263,917233,014,423
-1-19-59-109-1,121-1,907-2,071-6,431-36,233-112,513-122,189-207,863-2,137,747-3,949,397-12,263,917-233,014,423

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