Q: What are the factor combinations of the number 9,831,535?

 A:
Positive:   1 x 98315355 x 19663077 x 140450535 x 280901257 x 382551093 x 89951285 x 76511799 x 5465
Negative: -1 x -9831535-5 x -1966307-7 x -1404505-35 x -280901-257 x -38255-1093 x -8995-1285 x -7651-1799 x -5465


How do I find the factor combinations of the number 9,831,535?

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 9,831,535, 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 9,831,535
-1 -9,831,535

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 9,831,535.

Example:
1 x 9,831,535 = 9,831,535
and
-1 x -9,831,535 = 9,831,535
Notice both answers equal 9,831,535

With that explanation out of the way, let's continue. Next, we take the number 9,831,535 and divide it by 2:

9,831,535 ÷ 2 = 4,915,767.5

If the quotient is a whole number, then 2 and 4,915,767.5 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 9,831,535
-1 -9,831,535

Now, we try dividing 9,831,535 by 3:

9,831,535 ÷ 3 = 3,277,178.3333

If the quotient is a whole number, then 3 and 3,277,178.3333 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 9,831,535
-1 -9,831,535

Let's try dividing by 4:

9,831,535 ÷ 4 = 2,457,883.75

If the quotient is a whole number, then 4 and 2,457,883.75 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 9,831,535
-1 9,831,535
Keep dividing by the next highest number until you cannot divide anymore.

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

157352571,0931,2851,7995,4657,6518,99538,255280,9011,404,5051,966,3079,831,535
-1-5-7-35-257-1,093-1,285-1,799-5,465-7,651-8,995-38,255-280,901-1,404,505-1,966,307-9,831,535

More Examples

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