Q: What are the factor combinations of the number 343,032,305?

 A:
Positive:   1 x 3430323055 x 686064617 x 4900461511 x 3118475535 x 980092355 x 623695177 x 4454965385 x 890993
Negative: -1 x -343032305-5 x -68606461-7 x -49004615-11 x -31184755-35 x -9800923-55 x -6236951-77 x -4454965-385 x -890993


How do I find the factor combinations of the number 343,032,305?

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 343,032,305, 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.

1 343,032,305
-1 -343,032,305

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 343,032,305.

Example:
1 x 343,032,305 = 343,032,305
and
-1 x -343,032,305 = 343,032,305
Notice both answers equal 343,032,305

With that explanation out of the way, let's continue. Next, we take the number 343,032,305 and divide it by 2:

343,032,305 ÷ 2 = 171,516,152.5

If the quotient is a whole number, then 2 and 171,516,152.5 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:

1 343,032,305
-1 -343,032,305

Now, we try dividing 343,032,305 by 3:

343,032,305 ÷ 3 = 114,344,101.6667

If the quotient is a whole number, then 3 and 114,344,101.6667 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:

1 343,032,305
-1 -343,032,305

Let's try dividing by 4:

343,032,305 ÷ 4 = 85,758,076.25

If the quotient is a whole number, then 4 and 85,758,076.25 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:

1 343,032,305
-1 343,032,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385890,9934,454,9656,236,9519,800,92331,184,75549,004,61568,606,461343,032,305
-1-5-7-11-35-55-77-385-890,993-4,454,965-6,236,951-9,800,923-31,184,755-49,004,615-68,606,461-343,032,305

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 343,032,305:


Ask a Question