Q: What are the factor combinations of the number 10,804,045?

 A:
Positive:   1 x 108040455 x 21608097 x 154343535 x 308687467 x 23135661 x 163452335 x 46273269 x 3305
Negative: -1 x -10804045-5 x -2160809-7 x -1543435-35 x -308687-467 x -23135-661 x -16345-2335 x -4627-3269 x -3305


How do I find the factor combinations of the number 10,804,045?

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 10,804,045, 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 10,804,045
-1 -10,804,045

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 10,804,045.

Example:
1 x 10,804,045 = 10,804,045
and
-1 x -10,804,045 = 10,804,045
Notice both answers equal 10,804,045

With that explanation out of the way, let's continue. Next, we take the number 10,804,045 and divide it by 2:

10,804,045 ÷ 2 = 5,402,022.5

If the quotient is a whole number, then 2 and 5,402,022.5 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 10,804,045
-1 -10,804,045

Now, we try dividing 10,804,045 by 3:

10,804,045 ÷ 3 = 3,601,348.3333

If the quotient is a whole number, then 3 and 3,601,348.3333 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 10,804,045
-1 -10,804,045

Let's try dividing by 4:

10,804,045 ÷ 4 = 2,701,011.25

If the quotient is a whole number, then 4 and 2,701,011.25 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 10,804,045
-1 10,804,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157354676612,3353,2693,3054,62716,34523,135308,6871,543,4352,160,80910,804,045
-1-5-7-35-467-661-2,335-3,269-3,305-4,627-16,345-23,135-308,687-1,543,435-2,160,809-10,804,045

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