Q: What are the factor combinations of the number 345,323,005?

 A:
Positive:   1 x 3453230055 x 6906460119 x 1817489595 x 3634979541 x 6383052705 x 1276616719 x 5139510279 x 33595
Negative: -1 x -345323005-5 x -69064601-19 x -18174895-95 x -3634979-541 x -638305-2705 x -127661-6719 x -51395-10279 x -33595


How do I find the factor combinations of the number 345,323,005?

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 345,323,005, 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.

1 345,323,005
-1 -345,323,005

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 345,323,005.

Example:
1 x 345,323,005 = 345,323,005
and
-1 x -345,323,005 = 345,323,005
Notice both answers equal 345,323,005

With that explanation out of the way, let's continue. Next, we take the number 345,323,005 and divide it by 2:

345,323,005 ÷ 2 = 172,661,502.5

If the quotient is a whole number, then 2 and 172,661,502.5 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:

1 345,323,005
-1 -345,323,005

Now, we try dividing 345,323,005 by 3:

345,323,005 ÷ 3 = 115,107,668.3333

If the quotient is a whole number, then 3 and 115,107,668.3333 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:

1 345,323,005
-1 -345,323,005

Let's try dividing by 4:

345,323,005 ÷ 4 = 86,330,751.25

If the quotient is a whole number, then 4 and 86,330,751.25 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:

1 345,323,005
-1 345,323,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1519955412,7056,71910,27933,59551,395127,661638,3053,634,97918,174,89569,064,601345,323,005
-1-5-19-95-541-2,705-6,719-10,279-33,595-51,395-127,661-638,305-3,634,979-18,174,895-69,064,601-345,323,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 345,323,005:


Ask a Question