Q: What are the factor combinations of the number 42,323,035?

 A:
Positive:   1 x 423230355 x 846460729 x 1459415145 x 291883151 x 280285755 x 560571933 x 218954379 x 9665
Negative: -1 x -42323035-5 x -8464607-29 x -1459415-145 x -291883-151 x -280285-755 x -56057-1933 x -21895-4379 x -9665


How do I find the factor combinations of the number 42,323,035?

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 42,323,035, 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 42,323,035
-1 -42,323,035

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 42,323,035.

Example:
1 x 42,323,035 = 42,323,035
and
-1 x -42,323,035 = 42,323,035
Notice both answers equal 42,323,035

With that explanation out of the way, let's continue. Next, we take the number 42,323,035 and divide it by 2:

42,323,035 ÷ 2 = 21,161,517.5

If the quotient is a whole number, then 2 and 21,161,517.5 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 42,323,035
-1 -42,323,035

Now, we try dividing 42,323,035 by 3:

42,323,035 ÷ 3 = 14,107,678.3333

If the quotient is a whole number, then 3 and 14,107,678.3333 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 42,323,035
-1 -42,323,035

Let's try dividing by 4:

42,323,035 ÷ 4 = 10,580,758.75

If the quotient is a whole number, then 4 and 10,580,758.75 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 42,323,035
-1 42,323,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451517551,9334,3799,66521,89556,057280,285291,8831,459,4158,464,60742,323,035
-1-5-29-145-151-755-1,933-4,379-9,665-21,895-56,057-280,285-291,883-1,459,415-8,464,607-42,323,035

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