Q: What are the factor combinations of the number 69,793,009?

 A:
Positive:   1 x 6979300911 x 634481913 x 5368693143 x 488063449 x 1554411087 x 642074939 x 141315837 x 11957
Negative: -1 x -69793009-11 x -6344819-13 x -5368693-143 x -488063-449 x -155441-1087 x -64207-4939 x -14131-5837 x -11957


How do I find the factor combinations of the number 69,793,009?

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 69,793,009, 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 69,793,009
-1 -69,793,009

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 69,793,009.

Example:
1 x 69,793,009 = 69,793,009
and
-1 x -69,793,009 = 69,793,009
Notice both answers equal 69,793,009

With that explanation out of the way, let's continue. Next, we take the number 69,793,009 and divide it by 2:

69,793,009 ÷ 2 = 34,896,504.5

If the quotient is a whole number, then 2 and 34,896,504.5 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 69,793,009
-1 -69,793,009

Now, we try dividing 69,793,009 by 3:

69,793,009 ÷ 3 = 23,264,336.3333

If the quotient is a whole number, then 3 and 23,264,336.3333 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 69,793,009
-1 -69,793,009

Let's try dividing by 4:

69,793,009 ÷ 4 = 17,448,252.25

If the quotient is a whole number, then 4 and 17,448,252.25 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 69,793,009
-1 69,793,009
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434491,0874,9395,83711,95714,13164,207155,441488,0635,368,6936,344,81969,793,009
-1-11-13-143-449-1,087-4,939-5,837-11,957-14,131-64,207-155,441-488,063-5,368,693-6,344,819-69,793,009

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