Q: What are the factor combinations of the number 58,950,005?

 A:
Positive:   1 x 589500055 x 1179000141 x 1437805205 x 287561269 x 2191451069 x 551451345 x 438295345 x 11029
Negative: -1 x -58950005-5 x -11790001-41 x -1437805-205 x -287561-269 x -219145-1069 x -55145-1345 x -43829-5345 x -11029


How do I find the factor combinations of the number 58,950,005?

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 58,950,005, 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 58,950,005
-1 -58,950,005

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 58,950,005.

Example:
1 x 58,950,005 = 58,950,005
and
-1 x -58,950,005 = 58,950,005
Notice both answers equal 58,950,005

With that explanation out of the way, let's continue. Next, we take the number 58,950,005 and divide it by 2:

58,950,005 ÷ 2 = 29,475,002.5

If the quotient is a whole number, then 2 and 29,475,002.5 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 58,950,005
-1 -58,950,005

Now, we try dividing 58,950,005 by 3:

58,950,005 ÷ 3 = 19,650,001.6667

If the quotient is a whole number, then 3 and 19,650,001.6667 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 58,950,005
-1 -58,950,005

Let's try dividing by 4:

58,950,005 ÷ 4 = 14,737,501.25

If the quotient is a whole number, then 4 and 14,737,501.25 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 58,950,005
-1 58,950,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052691,0691,3455,34511,02943,82955,145219,145287,5611,437,80511,790,00158,950,005
-1-5-41-205-269-1,069-1,345-5,345-11,029-43,829-55,145-219,145-287,561-1,437,805-11,790,001-58,950,005

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