Q: What are the factor combinations of the number 43,345,325?

 A:
Positive:   1 x 433453255 x 866906517 x 254972525 x 173381379 x 54867585 x 509945395 x 109735425 x 1019891291 x 335751343 x 322751975 x 219476455 x 6715
Negative: -1 x -43345325-5 x -8669065-17 x -2549725-25 x -1733813-79 x -548675-85 x -509945-395 x -109735-425 x -101989-1291 x -33575-1343 x -32275-1975 x -21947-6455 x -6715


How do I find the factor combinations of the number 43,345,325?

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 43,345,325, 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 43,345,325
-1 -43,345,325

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 43,345,325.

Example:
1 x 43,345,325 = 43,345,325
and
-1 x -43,345,325 = 43,345,325
Notice both answers equal 43,345,325

With that explanation out of the way, let's continue. Next, we take the number 43,345,325 and divide it by 2:

43,345,325 ÷ 2 = 21,672,662.5

If the quotient is a whole number, then 2 and 21,672,662.5 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 43,345,325
-1 -43,345,325

Now, we try dividing 43,345,325 by 3:

43,345,325 ÷ 3 = 14,448,441.6667

If the quotient is a whole number, then 3 and 14,448,441.6667 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 43,345,325
-1 -43,345,325

Let's try dividing by 4:

43,345,325 ÷ 4 = 10,836,331.25

If the quotient is a whole number, then 4 and 10,836,331.25 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 43,345,325
-1 43,345,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15172579853954251,2911,3431,9756,4556,71521,94732,27533,575101,989109,735509,945548,6751,733,8132,549,7258,669,06543,345,325
-1-5-17-25-79-85-395-425-1,291-1,343-1,975-6,455-6,715-21,947-32,275-33,575-101,989-109,735-509,945-548,675-1,733,813-2,549,725-8,669,065-43,345,325

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