Q: What are the factor combinations of the number 142,161,833?

 A:
Positive:   1 x 14216183311 x 12923803109 x 1304237139 x 1022747853 x 1666611199 x 1185671529 x 929779383 x 15151
Negative: -1 x -142161833-11 x -12923803-109 x -1304237-139 x -1022747-853 x -166661-1199 x -118567-1529 x -92977-9383 x -15151


How do I find the factor combinations of the number 142,161,833?

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 142,161,833, 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.

1 142,161,833
-1 -142,161,833

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 142,161,833.

Example:
1 x 142,161,833 = 142,161,833
and
-1 x -142,161,833 = 142,161,833
Notice both answers equal 142,161,833

With that explanation out of the way, let's continue. Next, we take the number 142,161,833 and divide it by 2:

142,161,833 ÷ 2 = 71,080,916.5

If the quotient is a whole number, then 2 and 71,080,916.5 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:

1 142,161,833
-1 -142,161,833

Now, we try dividing 142,161,833 by 3:

142,161,833 ÷ 3 = 47,387,277.6667

If the quotient is a whole number, then 3 and 47,387,277.6667 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:

1 142,161,833
-1 -142,161,833

Let's try dividing by 4:

142,161,833 ÷ 4 = 35,540,458.25

If the quotient is a whole number, then 4 and 35,540,458.25 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:

1 142,161,833
-1 142,161,833
Keep dividing by the next highest number until you cannot divide anymore.

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

1111091398531,1991,5299,38315,15192,977118,567166,6611,022,7471,304,23712,923,803142,161,833
-1-11-109-139-853-1,199-1,529-9,383-15,151-92,977-118,567-166,661-1,022,747-1,304,237-12,923,803-142,161,833

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