Q: What are the factor combinations of the number 340,350,059?

 A:
Positive:   1 x 3403500597 x 4862143719 x 17913161133 x 2559023137 x 2484307959 x 3549012603 x 13075318221 x 18679
Negative: -1 x -340350059-7 x -48621437-19 x -17913161-133 x -2559023-137 x -2484307-959 x -354901-2603 x -130753-18221 x -18679


How do I find the factor combinations of the number 340,350,059?

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 340,350,059, 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.

1 340,350,059
-1 -340,350,059

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 340,350,059.

Example:
1 x 340,350,059 = 340,350,059
and
-1 x -340,350,059 = 340,350,059
Notice both answers equal 340,350,059

With that explanation out of the way, let's continue. Next, we take the number 340,350,059 and divide it by 2:

340,350,059 ÷ 2 = 170,175,029.5

If the quotient is a whole number, then 2 and 170,175,029.5 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:

1 340,350,059
-1 -340,350,059

Now, we try dividing 340,350,059 by 3:

340,350,059 ÷ 3 = 113,450,019.6667

If the quotient is a whole number, then 3 and 113,450,019.6667 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:

1 340,350,059
-1 -340,350,059

Let's try dividing by 4:

340,350,059 ÷ 4 = 85,087,514.75

If the quotient is a whole number, then 4 and 85,087,514.75 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:

1 340,350,059
-1 340,350,059
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331379592,60318,22118,679130,753354,9012,484,3072,559,02317,913,16148,621,437340,350,059
-1-7-19-133-137-959-2,603-18,221-18,679-130,753-354,901-2,484,307-2,559,023-17,913,161-48,621,437-340,350,059

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