Q: What are the factor combinations of the number 188,856,745?

 A:
Positive:   1 x 1888567455 x 377713497 x 2697953511 x 1716879535 x 539590755 x 343375977 x 2452685385 x 490537
Negative: -1 x -188856745-5 x -37771349-7 x -26979535-11 x -17168795-35 x -5395907-55 x -3433759-77 x -2452685-385 x -490537


How do I find the factor combinations of the number 188,856,745?

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 188,856,745, 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.

1 188,856,745
-1 -188,856,745

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 188,856,745.

Example:
1 x 188,856,745 = 188,856,745
and
-1 x -188,856,745 = 188,856,745
Notice both answers equal 188,856,745

With that explanation out of the way, let's continue. Next, we take the number 188,856,745 and divide it by 2:

188,856,745 ÷ 2 = 94,428,372.5

If the quotient is a whole number, then 2 and 94,428,372.5 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:

1 188,856,745
-1 -188,856,745

Now, we try dividing 188,856,745 by 3:

188,856,745 ÷ 3 = 62,952,248.3333

If the quotient is a whole number, then 3 and 62,952,248.3333 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:

1 188,856,745
-1 -188,856,745

Let's try dividing by 4:

188,856,745 ÷ 4 = 47,214,186.25

If the quotient is a whole number, then 4 and 47,214,186.25 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:

1 188,856,745
-1 188,856,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385490,5372,452,6853,433,7595,395,90717,168,79526,979,53537,771,349188,856,745
-1-5-7-11-35-55-77-385-490,537-2,452,685-3,433,759-5,395,907-17,168,795-26,979,535-37,771,349-188,856,745

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