Q: What are the factor combinations of the number 9,252,529?

 A:
Positive:   1 x 925252911 x 84113913 x 71173389 x 103961143 x 64703727 x 12727979 x 94511157 x 7997
Negative: -1 x -9252529-11 x -841139-13 x -711733-89 x -103961-143 x -64703-727 x -12727-979 x -9451-1157 x -7997


How do I find the factor combinations of the number 9,252,529?

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 9,252,529, 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 9,252,529
-1 -9,252,529

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 9,252,529.

Example:
1 x 9,252,529 = 9,252,529
and
-1 x -9,252,529 = 9,252,529
Notice both answers equal 9,252,529

With that explanation out of the way, let's continue. Next, we take the number 9,252,529 and divide it by 2:

9,252,529 ÷ 2 = 4,626,264.5

If the quotient is a whole number, then 2 and 4,626,264.5 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 9,252,529
-1 -9,252,529

Now, we try dividing 9,252,529 by 3:

9,252,529 ÷ 3 = 3,084,176.3333

If the quotient is a whole number, then 3 and 3,084,176.3333 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 9,252,529
-1 -9,252,529

Let's try dividing by 4:

9,252,529 ÷ 4 = 2,313,132.25

If the quotient is a whole number, then 4 and 2,313,132.25 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 9,252,529
-1 9,252,529
Keep dividing by the next highest number until you cannot divide anymore.

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

11113891437279791,1577,9979,45112,72764,703103,961711,733841,1399,252,529
-1-11-13-89-143-727-979-1,157-7,997-9,451-12,727-64,703-103,961-711,733-841,139-9,252,529

More Examples

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