Q: What are the factor combinations of the number 155,212,375?

 A:
Positive:   1 x 1552123755 x 3104247525 x 6208495125 x 1241699
Negative: -1 x -155212375-5 x -31042475-25 x -6208495-125 x -1241699


How do I find the factor combinations of the number 155,212,375?

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 155,212,375, 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.

1 155,212,375
-1 -155,212,375

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 155,212,375.

Example:
1 x 155,212,375 = 155,212,375
and
-1 x -155,212,375 = 155,212,375
Notice both answers equal 155,212,375

With that explanation out of the way, let's continue. Next, we take the number 155,212,375 and divide it by 2:

155,212,375 ÷ 2 = 77,606,187.5

If the quotient is a whole number, then 2 and 77,606,187.5 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:

1 155,212,375
-1 -155,212,375

Now, we try dividing 155,212,375 by 3:

155,212,375 ÷ 3 = 51,737,458.3333

If the quotient is a whole number, then 3 and 51,737,458.3333 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:

1 155,212,375
-1 -155,212,375

Let's try dividing by 4:

155,212,375 ÷ 4 = 38,803,093.75

If the quotient is a whole number, then 4 and 38,803,093.75 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:

1 155,212,375
-1 155,212,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,241,6996,208,49531,042,475155,212,375
-1-5-25-125-1,241,699-6,208,495-31,042,475-155,212,375

More Examples

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