Q: What are the factor combinations of the number 58,585,721?

 A:
Positive:   1 x 5858572119 x 308345971 x 825151137 x 427633317 x 1848131349 x 434292603 x 225076023 x 9727
Negative: -1 x -58585721-19 x -3083459-71 x -825151-137 x -427633-317 x -184813-1349 x -43429-2603 x -22507-6023 x -9727


How do I find the factor combinations of the number 58,585,721?

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 58,585,721, 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 58,585,721
-1 -58,585,721

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 58,585,721.

Example:
1 x 58,585,721 = 58,585,721
and
-1 x -58,585,721 = 58,585,721
Notice both answers equal 58,585,721

With that explanation out of the way, let's continue. Next, we take the number 58,585,721 and divide it by 2:

58,585,721 ÷ 2 = 29,292,860.5

If the quotient is a whole number, then 2 and 29,292,860.5 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 58,585,721
-1 -58,585,721

Now, we try dividing 58,585,721 by 3:

58,585,721 ÷ 3 = 19,528,573.6667

If the quotient is a whole number, then 3 and 19,528,573.6667 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 58,585,721
-1 -58,585,721

Let's try dividing by 4:

58,585,721 ÷ 4 = 14,646,430.25

If the quotient is a whole number, then 4 and 14,646,430.25 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 58,585,721
-1 58,585,721
Keep dividing by the next highest number until you cannot divide anymore.

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

119711373171,3492,6036,0239,72722,50743,429184,813427,633825,1513,083,45958,585,721
-1-19-71-137-317-1,349-2,603-6,023-9,727-22,507-43,429-184,813-427,633-825,151-3,083,459-58,585,721

More Examples

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