Q: What are the factor combinations of the number 43,210,063?

 A:
Positive:   1 x 4321006313 x 332385131 x 1393873179 x 241397403 x 107221599 x 721372327 x 185695549 x 7787
Negative: -1 x -43210063-13 x -3323851-31 x -1393873-179 x -241397-403 x -107221-599 x -72137-2327 x -18569-5549 x -7787


How do I find the factor combinations of the number 43,210,063?

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 43,210,063, 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 43,210,063
-1 -43,210,063

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 43,210,063.

Example:
1 x 43,210,063 = 43,210,063
and
-1 x -43,210,063 = 43,210,063
Notice both answers equal 43,210,063

With that explanation out of the way, let's continue. Next, we take the number 43,210,063 and divide it by 2:

43,210,063 ÷ 2 = 21,605,031.5

If the quotient is a whole number, then 2 and 21,605,031.5 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 43,210,063
-1 -43,210,063

Now, we try dividing 43,210,063 by 3:

43,210,063 ÷ 3 = 14,403,354.3333

If the quotient is a whole number, then 3 and 14,403,354.3333 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 43,210,063
-1 -43,210,063

Let's try dividing by 4:

43,210,063 ÷ 4 = 10,802,515.75

If the quotient is a whole number, then 4 and 10,802,515.75 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 43,210,063
-1 43,210,063
Keep dividing by the next highest number until you cannot divide anymore.

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

113311794035992,3275,5497,78718,56972,137107,221241,3971,393,8733,323,85143,210,063
-1-13-31-179-403-599-2,327-5,549-7,787-18,569-72,137-107,221-241,397-1,393,873-3,323,851-43,210,063

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