Q: What are the factor combinations of the number 43,161,889?

 A:
Positive:   1 x 4316188929 x 148834131 x 139231941 x 1052729899 x 480111171 x 368591189 x 363011271 x 33959
Negative: -1 x -43161889-29 x -1488341-31 x -1392319-41 x -1052729-899 x -48011-1171 x -36859-1189 x -36301-1271 x -33959


How do I find the factor combinations of the number 43,161,889?

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 43,161,889, 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 43,161,889
-1 -43,161,889

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 43,161,889.

Example:
1 x 43,161,889 = 43,161,889
and
-1 x -43,161,889 = 43,161,889
Notice both answers equal 43,161,889

With that explanation out of the way, let's continue. Next, we take the number 43,161,889 and divide it by 2:

43,161,889 ÷ 2 = 21,580,944.5

If the quotient is a whole number, then 2 and 21,580,944.5 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 43,161,889
-1 -43,161,889

Now, we try dividing 43,161,889 by 3:

43,161,889 ÷ 3 = 14,387,296.3333

If the quotient is a whole number, then 3 and 14,387,296.3333 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 43,161,889
-1 -43,161,889

Let's try dividing by 4:

43,161,889 ÷ 4 = 10,790,472.25

If the quotient is a whole number, then 4 and 10,790,472.25 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 43,161,889
-1 43,161,889
Keep dividing by the next highest number until you cannot divide anymore.

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

12931418991,1711,1891,27133,95936,30136,85948,0111,052,7291,392,3191,488,34143,161,889
-1-29-31-41-899-1,171-1,189-1,271-33,959-36,301-36,859-48,011-1,052,729-1,392,319-1,488,341-43,161,889

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