Q: What are the factor combinations of the number 58,023,635?

 A:
Positive:   1 x 580236355 x 1160472717 x 341315529 x 200081585 x 682631145 x 400163493 x 1176952465 x 23539
Negative: -1 x -58023635-5 x -11604727-17 x -3413155-29 x -2000815-85 x -682631-145 x -400163-493 x -117695-2465 x -23539


How do I find the factor combinations of the number 58,023,635?

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 58,023,635, 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 58,023,635
-1 -58,023,635

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 58,023,635.

Example:
1 x 58,023,635 = 58,023,635
and
-1 x -58,023,635 = 58,023,635
Notice both answers equal 58,023,635

With that explanation out of the way, let's continue. Next, we take the number 58,023,635 and divide it by 2:

58,023,635 ÷ 2 = 29,011,817.5

If the quotient is a whole number, then 2 and 29,011,817.5 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 58,023,635
-1 -58,023,635

Now, we try dividing 58,023,635 by 3:

58,023,635 ÷ 3 = 19,341,211.6667

If the quotient is a whole number, then 3 and 19,341,211.6667 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 58,023,635
-1 -58,023,635

Let's try dividing by 4:

58,023,635 ÷ 4 = 14,505,908.75

If the quotient is a whole number, then 4 and 14,505,908.75 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 58,023,635
-1 58,023,635
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,46523,539117,695400,163682,6312,000,8153,413,15511,604,72758,023,635
-1-5-17-29-85-145-493-2,465-23,539-117,695-400,163-682,631-2,000,815-3,413,155-11,604,727-58,023,635

More Examples

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