Q: What are the factor combinations of the number 185,038,147?

 A:
Positive:   1 x 1850381477 x 2643402137 x 5001031259 x 7144331369 x 1351639583 x 19309
Negative: -1 x -185038147-7 x -26434021-37 x -5001031-259 x -714433-1369 x -135163-9583 x -19309


How do I find the factor combinations of the number 185,038,147?

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 185,038,147, 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.

1 185,038,147
-1 -185,038,147

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 185,038,147.

Example:
1 x 185,038,147 = 185,038,147
and
-1 x -185,038,147 = 185,038,147
Notice both answers equal 185,038,147

With that explanation out of the way, let's continue. Next, we take the number 185,038,147 and divide it by 2:

185,038,147 ÷ 2 = 92,519,073.5

If the quotient is a whole number, then 2 and 92,519,073.5 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:

1 185,038,147
-1 -185,038,147

Now, we try dividing 185,038,147 by 3:

185,038,147 ÷ 3 = 61,679,382.3333

If the quotient is a whole number, then 3 and 61,679,382.3333 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:

1 185,038,147
-1 -185,038,147

Let's try dividing by 4:

185,038,147 ÷ 4 = 46,259,536.75

If the quotient is a whole number, then 4 and 46,259,536.75 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:

1 185,038,147
-1 185,038,147
Keep dividing by the next highest number until you cannot divide anymore.

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

17372591,3699,58319,309135,163714,4335,001,03126,434,021185,038,147
-1-7-37-259-1,369-9,583-19,309-135,163-714,433-5,001,031-26,434,021-185,038,147

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