Q: What are the factor combinations of the number 9,823,645?

 A:
Positive:   1 x 98236455 x 196472913 x 75566523 x 42711565 x 151133115 x 85423299 x 328551495 x 6571
Negative: -1 x -9823645-5 x -1964729-13 x -755665-23 x -427115-65 x -151133-115 x -85423-299 x -32855-1495 x -6571


How do I find the factor combinations of the number 9,823,645?

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 9,823,645, 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 9,823,645
-1 -9,823,645

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 9,823,645.

Example:
1 x 9,823,645 = 9,823,645
and
-1 x -9,823,645 = 9,823,645
Notice both answers equal 9,823,645

With that explanation out of the way, let's continue. Next, we take the number 9,823,645 and divide it by 2:

9,823,645 ÷ 2 = 4,911,822.5

If the quotient is a whole number, then 2 and 4,911,822.5 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 9,823,645
-1 -9,823,645

Now, we try dividing 9,823,645 by 3:

9,823,645 ÷ 3 = 3,274,548.3333

If the quotient is a whole number, then 3 and 3,274,548.3333 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 9,823,645
-1 -9,823,645

Let's try dividing by 4:

9,823,645 ÷ 4 = 2,455,911.25

If the quotient is a whole number, then 4 and 2,455,911.25 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 9,823,645
-1 9,823,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,4956,57132,85585,423151,133427,115755,6651,964,7299,823,645
-1-5-13-23-65-115-299-1,495-6,571-32,855-85,423-151,133-427,115-755,665-1,964,729-9,823,645

More Examples

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