Q: What are the factor combinations of the number 155,121,239?

 A:
Positive:   1 x 1551212397 x 2216017713 x 1193240391 x 1704629421 x 3684592947 x 526374049 x 383115473 x 28343
Negative: -1 x -155121239-7 x -22160177-13 x -11932403-91 x -1704629-421 x -368459-2947 x -52637-4049 x -38311-5473 x -28343


How do I find the factor combinations of the number 155,121,239?

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 155,121,239, 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.

1 155,121,239
-1 -155,121,239

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 155,121,239.

Example:
1 x 155,121,239 = 155,121,239
and
-1 x -155,121,239 = 155,121,239
Notice both answers equal 155,121,239

With that explanation out of the way, let's continue. Next, we take the number 155,121,239 and divide it by 2:

155,121,239 ÷ 2 = 77,560,619.5

If the quotient is a whole number, then 2 and 77,560,619.5 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:

1 155,121,239
-1 -155,121,239

Now, we try dividing 155,121,239 by 3:

155,121,239 ÷ 3 = 51,707,079.6667

If the quotient is a whole number, then 3 and 51,707,079.6667 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:

1 155,121,239
-1 -155,121,239

Let's try dividing by 4:

155,121,239 ÷ 4 = 38,780,309.75

If the quotient is a whole number, then 4 and 38,780,309.75 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:

1 155,121,239
-1 155,121,239
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914212,9474,0495,47328,34338,31152,637368,4591,704,62911,932,40322,160,177155,121,239
-1-7-13-91-421-2,947-4,049-5,473-28,343-38,311-52,637-368,459-1,704,629-11,932,403-22,160,177-155,121,239

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