Q: What are the factor combinations of the number 4,629,163?

 A:
Positive:   1 x 46291637 x 66130911 x 42083377 x 6011979 x 58597553 x 8371761 x 6083869 x 5327
Negative: -1 x -4629163-7 x -661309-11 x -420833-77 x -60119-79 x -58597-553 x -8371-761 x -6083-869 x -5327


How do I find the factor combinations of the number 4,629,163?

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 4,629,163, 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 4,629,163
-1 -4,629,163

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 4,629,163.

Example:
1 x 4,629,163 = 4,629,163
and
-1 x -4,629,163 = 4,629,163
Notice both answers equal 4,629,163

With that explanation out of the way, let's continue. Next, we take the number 4,629,163 and divide it by 2:

4,629,163 ÷ 2 = 2,314,581.5

If the quotient is a whole number, then 2 and 2,314,581.5 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 4,629,163
-1 -4,629,163

Now, we try dividing 4,629,163 by 3:

4,629,163 ÷ 3 = 1,543,054.3333

If the quotient is a whole number, then 3 and 1,543,054.3333 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 4,629,163
-1 -4,629,163

Let's try dividing by 4:

4,629,163 ÷ 4 = 1,157,290.75

If the quotient is a whole number, then 4 and 1,157,290.75 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 4,629,163
-1 4,629,163
Keep dividing by the next highest number until you cannot divide anymore.

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

171177795537618695,3276,0838,37158,59760,119420,833661,3094,629,163
-1-7-11-77-79-553-761-869-5,327-6,083-8,371-58,597-60,119-420,833-661,309-4,629,163

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