Q: What are the factor combinations of the number 156,336,047?

 A:
Positive:   1 x 1563360477 x 2233372119 x 8228213133 x 1175459157 x 9957711099 x 1422532983 x 524097487 x 20881
Negative: -1 x -156336047-7 x -22333721-19 x -8228213-133 x -1175459-157 x -995771-1099 x -142253-2983 x -52409-7487 x -20881


How do I find the factor combinations of the number 156,336,047?

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 156,336,047, 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.

1 156,336,047
-1 -156,336,047

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 156,336,047.

Example:
1 x 156,336,047 = 156,336,047
and
-1 x -156,336,047 = 156,336,047
Notice both answers equal 156,336,047

With that explanation out of the way, let's continue. Next, we take the number 156,336,047 and divide it by 2:

156,336,047 ÷ 2 = 78,168,023.5

If the quotient is a whole number, then 2 and 78,168,023.5 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:

1 156,336,047
-1 -156,336,047

Now, we try dividing 156,336,047 by 3:

156,336,047 ÷ 3 = 52,112,015.6667

If the quotient is a whole number, then 3 and 52,112,015.6667 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:

1 156,336,047
-1 -156,336,047

Let's try dividing by 4:

156,336,047 ÷ 4 = 39,084,011.75

If the quotient is a whole number, then 4 and 39,084,011.75 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:

1 156,336,047
-1 156,336,047
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331571,0992,9837,48720,88152,409142,253995,7711,175,4598,228,21322,333,721156,336,047
-1-7-19-133-157-1,099-2,983-7,487-20,881-52,409-142,253-995,771-1,175,459-8,228,213-22,333,721-156,336,047

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