Q: What are the factor combinations of the number 5,302,969?

 A:
Positive:   1 x 53029697 x 75756729 x 182861151 x 35119173 x 30653203 x 261231057 x 50171211 x 4379
Negative: -1 x -5302969-7 x -757567-29 x -182861-151 x -35119-173 x -30653-203 x -26123-1057 x -5017-1211 x -4379


How do I find the factor combinations of the number 5,302,969?

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 5,302,969, 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 5,302,969
-1 -5,302,969

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 5,302,969.

Example:
1 x 5,302,969 = 5,302,969
and
-1 x -5,302,969 = 5,302,969
Notice both answers equal 5,302,969

With that explanation out of the way, let's continue. Next, we take the number 5,302,969 and divide it by 2:

5,302,969 ÷ 2 = 2,651,484.5

If the quotient is a whole number, then 2 and 2,651,484.5 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 5,302,969
-1 -5,302,969

Now, we try dividing 5,302,969 by 3:

5,302,969 ÷ 3 = 1,767,656.3333

If the quotient is a whole number, then 3 and 1,767,656.3333 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 5,302,969
-1 -5,302,969

Let's try dividing by 4:

5,302,969 ÷ 4 = 1,325,742.25

If the quotient is a whole number, then 4 and 1,325,742.25 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 5,302,969
-1 5,302,969
Keep dividing by the next highest number until you cannot divide anymore.

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

17291511732031,0571,2114,3795,01726,12330,65335,119182,861757,5675,302,969
-1-7-29-151-173-203-1,057-1,211-4,379-5,017-26,123-30,653-35,119-182,861-757,567-5,302,969

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