Q: What are the factor combinations of the number 340,250,015?

 A:
Positive:   1 x 3402500155 x 680500037 x 4860714535 x 9721429
Negative: -1 x -340250015-5 x -68050003-7 x -48607145-35 x -9721429


How do I find the factor combinations of the number 340,250,015?

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 340,250,015, 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.

1 340,250,015
-1 -340,250,015

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 340,250,015.

Example:
1 x 340,250,015 = 340,250,015
and
-1 x -340,250,015 = 340,250,015
Notice both answers equal 340,250,015

With that explanation out of the way, let's continue. Next, we take the number 340,250,015 and divide it by 2:

340,250,015 ÷ 2 = 170,125,007.5

If the quotient is a whole number, then 2 and 170,125,007.5 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:

1 340,250,015
-1 -340,250,015

Now, we try dividing 340,250,015 by 3:

340,250,015 ÷ 3 = 113,416,671.6667

If the quotient is a whole number, then 3 and 113,416,671.6667 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:

1 340,250,015
-1 -340,250,015

Let's try dividing by 4:

340,250,015 ÷ 4 = 85,062,503.75

If the quotient is a whole number, then 4 and 85,062,503.75 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:

1 340,250,015
-1 340,250,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157359,721,42948,607,14568,050,003340,250,015
-1-5-7-35-9,721,429-48,607,145-68,050,003-340,250,015

More Examples

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