Q: What are the factor combinations of the number 345,166,313?

 A:
Positive:   1 x 34516631323 x 15007231173 x 1995181223 x 1547831389 x 8873173979 x 867475129 x 672978947 x 38579
Negative: -1 x -345166313-23 x -15007231-173 x -1995181-223 x -1547831-389 x -887317-3979 x -86747-5129 x -67297-8947 x -38579


How do I find the factor combinations of the number 345,166,313?

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 345,166,313, 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.

1 345,166,313
-1 -345,166,313

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 345,166,313.

Example:
1 x 345,166,313 = 345,166,313
and
-1 x -345,166,313 = 345,166,313
Notice both answers equal 345,166,313

With that explanation out of the way, let's continue. Next, we take the number 345,166,313 and divide it by 2:

345,166,313 ÷ 2 = 172,583,156.5

If the quotient is a whole number, then 2 and 172,583,156.5 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:

1 345,166,313
-1 -345,166,313

Now, we try dividing 345,166,313 by 3:

345,166,313 ÷ 3 = 115,055,437.6667

If the quotient is a whole number, then 3 and 115,055,437.6667 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:

1 345,166,313
-1 -345,166,313

Let's try dividing by 4:

345,166,313 ÷ 4 = 86,291,578.25

If the quotient is a whole number, then 4 and 86,291,578.25 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:

1 345,166,313
-1 345,166,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1231732233893,9795,1298,94738,57967,29786,747887,3171,547,8311,995,18115,007,231345,166,313
-1-23-173-223-389-3,979-5,129-8,947-38,579-67,297-86,747-887,317-1,547,831-1,995,181-15,007,231-345,166,313

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