Q: What are the factor combinations of the number 342,051,061?

 A:
Positive:   1 x 34205106111 x 31095551139 x 2460799349 x 980089641 x 5336211529 x 2237093839 x 890997051 x 48511
Negative: -1 x -342051061-11 x -31095551-139 x -2460799-349 x -980089-641 x -533621-1529 x -223709-3839 x -89099-7051 x -48511


How do I find the factor combinations of the number 342,051,061?

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 342,051,061, 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.

1 342,051,061
-1 -342,051,061

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 342,051,061.

Example:
1 x 342,051,061 = 342,051,061
and
-1 x -342,051,061 = 342,051,061
Notice both answers equal 342,051,061

With that explanation out of the way, let's continue. Next, we take the number 342,051,061 and divide it by 2:

342,051,061 ÷ 2 = 171,025,530.5

If the quotient is a whole number, then 2 and 171,025,530.5 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:

1 342,051,061
-1 -342,051,061

Now, we try dividing 342,051,061 by 3:

342,051,061 ÷ 3 = 114,017,020.3333

If the quotient is a whole number, then 3 and 114,017,020.3333 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:

1 342,051,061
-1 -342,051,061

Let's try dividing by 4:

342,051,061 ÷ 4 = 85,512,765.25

If the quotient is a whole number, then 4 and 85,512,765.25 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:

1 342,051,061
-1 342,051,061
Keep dividing by the next highest number until you cannot divide anymore.

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

1111393496411,5293,8397,05148,51189,099223,709533,621980,0892,460,79931,095,551342,051,061
-1-11-139-349-641-1,529-3,839-7,051-48,511-89,099-223,709-533,621-980,089-2,460,799-31,095,551-342,051,061

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