Q: What are the factor combinations of the number 155,121,155?

 A:
Positive:   1 x 1551211555 x 310242317 x 2216016535 x 443203371 x 2184805355 x 436961497 x 3121152485 x 62423
Negative: -1 x -155121155-5 x -31024231-7 x -22160165-35 x -4432033-71 x -2184805-355 x -436961-497 x -312115-2485 x -62423


How do I find the factor combinations of the number 155,121,155?

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 155,121,155, 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.

1 155,121,155
-1 -155,121,155

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 155,121,155.

Example:
1 x 155,121,155 = 155,121,155
and
-1 x -155,121,155 = 155,121,155
Notice both answers equal 155,121,155

With that explanation out of the way, let's continue. Next, we take the number 155,121,155 and divide it by 2:

155,121,155 ÷ 2 = 77,560,577.5

If the quotient is a whole number, then 2 and 77,560,577.5 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:

1 155,121,155
-1 -155,121,155

Now, we try dividing 155,121,155 by 3:

155,121,155 ÷ 3 = 51,707,051.6667

If the quotient is a whole number, then 3 and 51,707,051.6667 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:

1 155,121,155
-1 -155,121,155

Let's try dividing by 4:

155,121,155 ÷ 4 = 38,780,288.75

If the quotient is a whole number, then 4 and 38,780,288.75 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:

1 155,121,155
-1 155,121,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,48562,423312,115436,9612,184,8054,432,03322,160,16531,024,231155,121,155
-1-5-7-35-71-355-497-2,485-62,423-312,115-436,961-2,184,805-4,432,033-22,160,165-31,024,231-155,121,155

More Examples

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