Q: What are the factor combinations of the number 142,142,539?

 A:
Positive:   1 x 1421425397 x 2030607711 x 1292204977 x 184600797 x 1465387679 x 2093411067 x 1332177469 x 19031
Negative: -1 x -142142539-7 x -20306077-11 x -12922049-77 x -1846007-97 x -1465387-679 x -209341-1067 x -133217-7469 x -19031


How do I find the factor combinations of the number 142,142,539?

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 142,142,539, 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.

1 142,142,539
-1 -142,142,539

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 142,142,539.

Example:
1 x 142,142,539 = 142,142,539
and
-1 x -142,142,539 = 142,142,539
Notice both answers equal 142,142,539

With that explanation out of the way, let's continue. Next, we take the number 142,142,539 and divide it by 2:

142,142,539 ÷ 2 = 71,071,269.5

If the quotient is a whole number, then 2 and 71,071,269.5 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:

1 142,142,539
-1 -142,142,539

Now, we try dividing 142,142,539 by 3:

142,142,539 ÷ 3 = 47,380,846.3333

If the quotient is a whole number, then 3 and 47,380,846.3333 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:

1 142,142,539
-1 -142,142,539

Let's try dividing by 4:

142,142,539 ÷ 4 = 35,535,634.75

If the quotient is a whole number, then 4 and 35,535,634.75 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:

1 142,142,539
-1 142,142,539
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0677,46919,031133,217209,3411,465,3871,846,00712,922,04920,306,077142,142,539
-1-7-11-77-97-679-1,067-7,469-19,031-133,217-209,341-1,465,387-1,846,007-12,922,049-20,306,077-142,142,539

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