Q: What are the factor combinations of the number 342,140,315?

 A:
Positive:   1 x 3421403155 x 6842806311 x 3110366519 x 1800738555 x 622073395 x 3601477209 x 16370351045 x 327407
Negative: -1 x -342140315-5 x -68428063-11 x -31103665-19 x -18007385-55 x -6220733-95 x -3601477-209 x -1637035-1045 x -327407


How do I find the factor combinations of the number 342,140,315?

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 342,140,315, 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.

1 342,140,315
-1 -342,140,315

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 342,140,315.

Example:
1 x 342,140,315 = 342,140,315
and
-1 x -342,140,315 = 342,140,315
Notice both answers equal 342,140,315

With that explanation out of the way, let's continue. Next, we take the number 342,140,315 and divide it by 2:

342,140,315 ÷ 2 = 171,070,157.5

If the quotient is a whole number, then 2 and 171,070,157.5 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:

1 342,140,315
-1 -342,140,315

Now, we try dividing 342,140,315 by 3:

342,140,315 ÷ 3 = 114,046,771.6667

If the quotient is a whole number, then 3 and 114,046,771.6667 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:

1 342,140,315
-1 -342,140,315

Let's try dividing by 4:

342,140,315 ÷ 4 = 85,535,078.75

If the quotient is a whole number, then 4 and 85,535,078.75 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:

1 342,140,315
-1 342,140,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045327,4071,637,0353,601,4776,220,73318,007,38531,103,66568,428,063342,140,315
-1-5-11-19-55-95-209-1,045-327,407-1,637,035-3,601,477-6,220,733-18,007,385-31,103,665-68,428,063-342,140,315

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