Q: What are the factor combinations of the number 343,344,551?

 A:
Positive:   1 x 34334455111 x 3121314143 x 7984757101 x 3399451473 x 7258871111 x 3090414343 x 790577187 x 47773
Negative: -1 x -343344551-11 x -31213141-43 x -7984757-101 x -3399451-473 x -725887-1111 x -309041-4343 x -79057-7187 x -47773


How do I find the factor combinations of the number 343,344,551?

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 343,344,551, 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.

1 343,344,551
-1 -343,344,551

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 343,344,551.

Example:
1 x 343,344,551 = 343,344,551
and
-1 x -343,344,551 = 343,344,551
Notice both answers equal 343,344,551

With that explanation out of the way, let's continue. Next, we take the number 343,344,551 and divide it by 2:

343,344,551 ÷ 2 = 171,672,275.5

If the quotient is a whole number, then 2 and 171,672,275.5 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:

1 343,344,551
-1 -343,344,551

Now, we try dividing 343,344,551 by 3:

343,344,551 ÷ 3 = 114,448,183.6667

If the quotient is a whole number, then 3 and 114,448,183.6667 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:

1 343,344,551
-1 -343,344,551

Let's try dividing by 4:

343,344,551 ÷ 4 = 85,836,137.75

If the quotient is a whole number, then 4 and 85,836,137.75 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:

1 343,344,551
-1 343,344,551
Keep dividing by the next highest number until you cannot divide anymore.

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

111431014731,1114,3437,18747,77379,057309,041725,8873,399,4517,984,75731,213,141343,344,551
-1-11-43-101-473-1,111-4,343-7,187-47,773-79,057-309,041-725,887-3,399,451-7,984,757-31,213,141-343,344,551

More Examples

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