Q: What are the factor combinations of the number 9,050,069?

 A:
Positive:   1 x 90500697 x 129286717 x 53235759 x 153391119 x 76051413 x 219131003 x 90231289 x 7021
Negative: -1 x -9050069-7 x -1292867-17 x -532357-59 x -153391-119 x -76051-413 x -21913-1003 x -9023-1289 x -7021


How do I find the factor combinations of the number 9,050,069?

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 9,050,069, 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 9,050,069
-1 -9,050,069

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 9,050,069.

Example:
1 x 9,050,069 = 9,050,069
and
-1 x -9,050,069 = 9,050,069
Notice both answers equal 9,050,069

With that explanation out of the way, let's continue. Next, we take the number 9,050,069 and divide it by 2:

9,050,069 ÷ 2 = 4,525,034.5

If the quotient is a whole number, then 2 and 4,525,034.5 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 9,050,069
-1 -9,050,069

Now, we try dividing 9,050,069 by 3:

9,050,069 ÷ 3 = 3,016,689.6667

If the quotient is a whole number, then 3 and 3,016,689.6667 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 9,050,069
-1 -9,050,069

Let's try dividing by 4:

9,050,069 ÷ 4 = 2,262,517.25

If the quotient is a whole number, then 4 and 2,262,517.25 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 9,050,069
-1 9,050,069
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591194131,0031,2897,0219,02321,91376,051153,391532,3571,292,8679,050,069
-1-7-17-59-119-413-1,003-1,289-7,021-9,023-21,913-76,051-153,391-532,357-1,292,867-9,050,069

More Examples

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