Q: What are the factor combinations of the number 9,250,241?

 A:
Positive:   1 x 92502417 x 132146311 x 84093113 x 71155777 x 12013391 x 101651143 x 646871001 x 9241
Negative: -1 x -9250241-7 x -1321463-11 x -840931-13 x -711557-77 x -120133-91 x -101651-143 x -64687-1001 x -9241


How do I find the factor combinations of the number 9,250,241?

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 9,250,241, 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 9,250,241
-1 -9,250,241

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 9,250,241.

Example:
1 x 9,250,241 = 9,250,241
and
-1 x -9,250,241 = 9,250,241
Notice both answers equal 9,250,241

With that explanation out of the way, let's continue. Next, we take the number 9,250,241 and divide it by 2:

9,250,241 ÷ 2 = 4,625,120.5

If the quotient is a whole number, then 2 and 4,625,120.5 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 9,250,241
-1 -9,250,241

Now, we try dividing 9,250,241 by 3:

9,250,241 ÷ 3 = 3,083,413.6667

If the quotient is a whole number, then 3 and 3,083,413.6667 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 9,250,241
-1 -9,250,241

Let's try dividing by 4:

9,250,241 ÷ 4 = 2,312,560.25

If the quotient is a whole number, then 4 and 2,312,560.25 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 9,250,241
-1 9,250,241
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0019,24164,687101,651120,133711,557840,9311,321,4639,250,241
-1-7-11-13-77-91-143-1,001-9,241-64,687-101,651-120,133-711,557-840,931-1,321,463-9,250,241

More Examples

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