Q: What are the factor combinations of the number 431,024,112?

 A:
Positive:   1 x 4310241122 x 2155120563 x 1436747044 x 1077560286 x 718373528 x 538780149 x 4789156812 x 3591867616 x 2693900718 x 2394578424 x 1795933827 x 1596385636 x 1197289248 x 897966954 x 798192872 x 5986446108 x 3990964144 x 2993223216 x 1995482432 x 997741
Negative: -1 x -431024112-2 x -215512056-3 x -143674704-4 x -107756028-6 x -71837352-8 x -53878014-9 x -47891568-12 x -35918676-16 x -26939007-18 x -23945784-24 x -17959338-27 x -15963856-36 x -11972892-48 x -8979669-54 x -7981928-72 x -5986446-108 x -3990964-144 x -2993223-216 x -1995482-432 x -997741


How do I find the factor combinations of the number 431,024,112?

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 431,024,112, 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.

1 431,024,112
-1 -431,024,112

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 431,024,112.

Example:
1 x 431,024,112 = 431,024,112
and
-1 x -431,024,112 = 431,024,112
Notice both answers equal 431,024,112

With that explanation out of the way, let's continue. Next, we take the number 431,024,112 and divide it by 2:

431,024,112 ÷ 2 = 215,512,056

If the quotient is a whole number, then 2 and 215,512,056 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 215,512,056 431,024,112
-1 -2 -215,512,056 -431,024,112

Now, we try dividing 431,024,112 by 3:

431,024,112 ÷ 3 = 143,674,704

If the quotient is a whole number, then 3 and 143,674,704 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 143,674,704 215,512,056 431,024,112
-1 -2 -3 -143,674,704 -215,512,056 -431,024,112

Let's try dividing by 4:

431,024,112 ÷ 4 = 107,756,028

If the quotient is a whole number, then 4 and 107,756,028 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 107,756,028 143,674,704 215,512,056 431,024,112
-1 -2 -3 -4 -107,756,028 -143,674,704 -215,512,056 431,024,112
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689121618242736485472108144216432997,7411,995,4822,993,2233,990,9645,986,4467,981,9288,979,66911,972,89215,963,85617,959,33823,945,78426,939,00735,918,67647,891,56853,878,01471,837,352107,756,028143,674,704215,512,056431,024,112
-1-2-3-4-6-8-9-12-16-18-24-27-36-48-54-72-108-144-216-432-997,741-1,995,482-2,993,223-3,990,964-5,986,446-7,981,928-8,979,669-11,972,892-15,963,856-17,959,338-23,945,784-26,939,007-35,918,676-47,891,568-53,878,014-71,837,352-107,756,028-143,674,704-215,512,056-431,024,112

More Examples

Here are some more numbers to try:

431,024,110431,024,111431,024,113431,024,114
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