Q: What are the factor combinations of the number 342,034,615?

 A:
Positive:   1 x 3420346155 x 6840692313 x 2631035565 x 5262071113 x 3026855565 x 6053711469 x 2328357345 x 46567
Negative: -1 x -342034615-5 x -68406923-13 x -26310355-65 x -5262071-113 x -3026855-565 x -605371-1469 x -232835-7345 x -46567


How do I find the factor combinations of the number 342,034,615?

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 342,034,615, 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.

1 342,034,615
-1 -342,034,615

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 342,034,615.

Example:
1 x 342,034,615 = 342,034,615
and
-1 x -342,034,615 = 342,034,615
Notice both answers equal 342,034,615

With that explanation out of the way, let's continue. Next, we take the number 342,034,615 and divide it by 2:

342,034,615 ÷ 2 = 171,017,307.5

If the quotient is a whole number, then 2 and 171,017,307.5 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:

1 342,034,615
-1 -342,034,615

Now, we try dividing 342,034,615 by 3:

342,034,615 ÷ 3 = 114,011,538.3333

If the quotient is a whole number, then 3 and 114,011,538.3333 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:

1 342,034,615
-1 -342,034,615

Let's try dividing by 4:

342,034,615 ÷ 4 = 85,508,653.75

If the quotient is a whole number, then 4 and 85,508,653.75 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:

1 342,034,615
-1 342,034,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651135651,4697,34546,567232,835605,3713,026,8555,262,07126,310,35568,406,923342,034,615
-1-5-13-65-113-565-1,469-7,345-46,567-232,835-605,371-3,026,855-5,262,071-26,310,355-68,406,923-342,034,615

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