Q: What are the factor combinations of the number 155,231,255?

 A:
Positive:   1 x 1552312555 x 3104625123 x 6749185115 x 1349837929 x 1670951453 x 1068354645 x 334197265 x 21367
Negative: -1 x -155231255-5 x -31046251-23 x -6749185-115 x -1349837-929 x -167095-1453 x -106835-4645 x -33419-7265 x -21367


How do I find the factor combinations of the number 155,231,255?

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 155,231,255, 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.

1 155,231,255
-1 -155,231,255

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 155,231,255.

Example:
1 x 155,231,255 = 155,231,255
and
-1 x -155,231,255 = 155,231,255
Notice both answers equal 155,231,255

With that explanation out of the way, let's continue. Next, we take the number 155,231,255 and divide it by 2:

155,231,255 ÷ 2 = 77,615,627.5

If the quotient is a whole number, then 2 and 77,615,627.5 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:

1 155,231,255
-1 -155,231,255

Now, we try dividing 155,231,255 by 3:

155,231,255 ÷ 3 = 51,743,751.6667

If the quotient is a whole number, then 3 and 51,743,751.6667 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:

1 155,231,255
-1 -155,231,255

Let's try dividing by 4:

155,231,255 ÷ 4 = 38,807,813.75

If the quotient is a whole number, then 4 and 38,807,813.75 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:

1 155,231,255
-1 155,231,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15231159291,4534,6457,26521,36733,419106,835167,0951,349,8376,749,18531,046,251155,231,255
-1-5-23-115-929-1,453-4,645-7,265-21,367-33,419-106,835-167,095-1,349,837-6,749,185-31,046,251-155,231,255

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