Q: What are the factor combinations of the number 142,656,133?

 A:
Positive:   1 x 14265613329 x 4919177103 x 1385011163 x 875191293 x 4868812987 x 477594727 x 301798497 x 16789
Negative: -1 x -142656133-29 x -4919177-103 x -1385011-163 x -875191-293 x -486881-2987 x -47759-4727 x -30179-8497 x -16789


How do I find the factor combinations of the number 142,656,133?

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 142,656,133, 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.

1 142,656,133
-1 -142,656,133

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 142,656,133.

Example:
1 x 142,656,133 = 142,656,133
and
-1 x -142,656,133 = 142,656,133
Notice both answers equal 142,656,133

With that explanation out of the way, let's continue. Next, we take the number 142,656,133 and divide it by 2:

142,656,133 ÷ 2 = 71,328,066.5

If the quotient is a whole number, then 2 and 71,328,066.5 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:

1 142,656,133
-1 -142,656,133

Now, we try dividing 142,656,133 by 3:

142,656,133 ÷ 3 = 47,552,044.3333

If the quotient is a whole number, then 3 and 47,552,044.3333 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:

1 142,656,133
-1 -142,656,133

Let's try dividing by 4:

142,656,133 ÷ 4 = 35,664,033.25

If the quotient is a whole number, then 4 and 35,664,033.25 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:

1 142,656,133
-1 142,656,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1291031632932,9874,7278,49716,78930,17947,759486,881875,1911,385,0114,919,177142,656,133
-1-29-103-163-293-2,987-4,727-8,497-16,789-30,179-47,759-486,881-875,191-1,385,011-4,919,177-142,656,133

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