Q: What are the factor combinations of the number 5,323,955?

 A:
Positive:   1 x 53239555 x 10647917 x 76056513 x 40953535 x 15211365 x 8190791 x 58505455 x 11701
Negative: -1 x -5323955-5 x -1064791-7 x -760565-13 x -409535-35 x -152113-65 x -81907-91 x -58505-455 x -11701


How do I find the factor combinations of the number 5,323,955?

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 5,323,955, 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 5,323,955
-1 -5,323,955

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 5,323,955.

Example:
1 x 5,323,955 = 5,323,955
and
-1 x -5,323,955 = 5,323,955
Notice both answers equal 5,323,955

With that explanation out of the way, let's continue. Next, we take the number 5,323,955 and divide it by 2:

5,323,955 ÷ 2 = 2,661,977.5

If the quotient is a whole number, then 2 and 2,661,977.5 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 5,323,955
-1 -5,323,955

Now, we try dividing 5,323,955 by 3:

5,323,955 ÷ 3 = 1,774,651.6667

If the quotient is a whole number, then 3 and 1,774,651.6667 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 5,323,955
-1 -5,323,955

Let's try dividing by 4:

5,323,955 ÷ 4 = 1,330,988.75

If the quotient is a whole number, then 4 and 1,330,988.75 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 5,323,955
-1 5,323,955
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145511,70158,50581,907152,113409,535760,5651,064,7915,323,955
-1-5-7-13-35-65-91-455-11,701-58,505-81,907-152,113-409,535-760,565-1,064,791-5,323,955

More Examples

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