Q: What are the factor combinations of the number 342,012,143?

 A:
Positive:   1 x 34201214311 x 31092013127 x 2693009137 x 24964391397 x 2448191507 x 2269491787 x 19138917399 x 19657
Negative: -1 x -342012143-11 x -31092013-127 x -2693009-137 x -2496439-1397 x -244819-1507 x -226949-1787 x -191389-17399 x -19657


How do I find the factor combinations of the number 342,012,143?

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 342,012,143, 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.

1 342,012,143
-1 -342,012,143

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 342,012,143.

Example:
1 x 342,012,143 = 342,012,143
and
-1 x -342,012,143 = 342,012,143
Notice both answers equal 342,012,143

With that explanation out of the way, let's continue. Next, we take the number 342,012,143 and divide it by 2:

342,012,143 ÷ 2 = 171,006,071.5

If the quotient is a whole number, then 2 and 171,006,071.5 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:

1 342,012,143
-1 -342,012,143

Now, we try dividing 342,012,143 by 3:

342,012,143 ÷ 3 = 114,004,047.6667

If the quotient is a whole number, then 3 and 114,004,047.6667 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:

1 342,012,143
-1 -342,012,143

Let's try dividing by 4:

342,012,143 ÷ 4 = 85,503,035.75

If the quotient is a whole number, then 4 and 85,503,035.75 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:

1 342,012,143
-1 342,012,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1111271371,3971,5071,78717,39919,657191,389226,949244,8192,496,4392,693,00931,092,013342,012,143
-1-11-127-137-1,397-1,507-1,787-17,399-19,657-191,389-226,949-244,819-2,496,439-2,693,009-31,092,013-342,012,143

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