Q: What are the factor combinations of the number 6,967,229?

 A:
Positive:   1 x 696722917 x 40983723 x 302923103 x 67643173 x 40273391 x 178191751 x 39792369 x 2941
Negative: -1 x -6967229-17 x -409837-23 x -302923-103 x -67643-173 x -40273-391 x -17819-1751 x -3979-2369 x -2941


How do I find the factor combinations of the number 6,967,229?

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 6,967,229, 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 6,967,229
-1 -6,967,229

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 6,967,229.

Example:
1 x 6,967,229 = 6,967,229
and
-1 x -6,967,229 = 6,967,229
Notice both answers equal 6,967,229

With that explanation out of the way, let's continue. Next, we take the number 6,967,229 and divide it by 2:

6,967,229 ÷ 2 = 3,483,614.5

If the quotient is a whole number, then 2 and 3,483,614.5 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 6,967,229
-1 -6,967,229

Now, we try dividing 6,967,229 by 3:

6,967,229 ÷ 3 = 2,322,409.6667

If the quotient is a whole number, then 3 and 2,322,409.6667 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 6,967,229
-1 -6,967,229

Let's try dividing by 4:

6,967,229 ÷ 4 = 1,741,807.25

If the quotient is a whole number, then 4 and 1,741,807.25 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 6,967,229
-1 6,967,229
Keep dividing by the next highest number until you cannot divide anymore.

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

117231031733911,7512,3692,9413,97917,81940,27367,643302,923409,8376,967,229
-1-17-23-103-173-391-1,751-2,369-2,941-3,979-17,819-40,273-67,643-302,923-409,837-6,967,229

More Examples

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