Q: What are the factor combinations of the number 232,100,155?

 A:
Positive:   1 x 2321001555 x 464200317 x 3315716535 x 66314331217 x 1907155449 x 425956085 x 381438519 x 27245
Negative: -1 x -232100155-5 x -46420031-7 x -33157165-35 x -6631433-1217 x -190715-5449 x -42595-6085 x -38143-8519 x -27245


How do I find the factor combinations of the number 232,100,155?

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 232,100,155, 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.

1 232,100,155
-1 -232,100,155

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 232,100,155.

Example:
1 x 232,100,155 = 232,100,155
and
-1 x -232,100,155 = 232,100,155
Notice both answers equal 232,100,155

With that explanation out of the way, let's continue. Next, we take the number 232,100,155 and divide it by 2:

232,100,155 ÷ 2 = 116,050,077.5

If the quotient is a whole number, then 2 and 116,050,077.5 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:

1 232,100,155
-1 -232,100,155

Now, we try dividing 232,100,155 by 3:

232,100,155 ÷ 3 = 77,366,718.3333

If the quotient is a whole number, then 3 and 77,366,718.3333 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:

1 232,100,155
-1 -232,100,155

Let's try dividing by 4:

232,100,155 ÷ 4 = 58,025,038.75

If the quotient is a whole number, then 4 and 58,025,038.75 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:

1 232,100,155
-1 232,100,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,2175,4496,0858,51927,24538,14342,595190,7156,631,43333,157,16546,420,031232,100,155
-1-5-7-35-1,217-5,449-6,085-8,519-27,245-38,143-42,595-190,715-6,631,433-33,157,165-46,420,031-232,100,155

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