Q: What are the factor combinations of the number 422,415,635?

 A:
Positive:   1 x 4224156355 x 8448312783 x 5089345415 x 1017869643 x 6569451583 x 2668453215 x 1313897915 x 53369
Negative: -1 x -422415635-5 x -84483127-83 x -5089345-415 x -1017869-643 x -656945-1583 x -266845-3215 x -131389-7915 x -53369


How do I find the factor combinations of the number 422,415,635?

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 422,415,635, 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.

1 422,415,635
-1 -422,415,635

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 422,415,635.

Example:
1 x 422,415,635 = 422,415,635
and
-1 x -422,415,635 = 422,415,635
Notice both answers equal 422,415,635

With that explanation out of the way, let's continue. Next, we take the number 422,415,635 and divide it by 2:

422,415,635 ÷ 2 = 211,207,817.5

If the quotient is a whole number, then 2 and 211,207,817.5 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:

1 422,415,635
-1 -422,415,635

Now, we try dividing 422,415,635 by 3:

422,415,635 ÷ 3 = 140,805,211.6667

If the quotient is a whole number, then 3 and 140,805,211.6667 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:

1 422,415,635
-1 -422,415,635

Let's try dividing by 4:

422,415,635 ÷ 4 = 105,603,908.75

If the quotient is a whole number, then 4 and 105,603,908.75 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:

1 422,415,635
-1 422,415,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15834156431,5833,2157,91553,369131,389266,845656,9451,017,8695,089,34584,483,127422,415,635
-1-5-83-415-643-1,583-3,215-7,915-53,369-131,389-266,845-656,945-1,017,869-5,089,345-84,483,127-422,415,635

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