Q: What are the factor combinations of the number 142,213,337?

 A:
Positive:   1 x 1422133377 x 2031619131 x 458752749 x 2902313217 x 655361251 x 566587373 x 3812691519 x 936231757 x 809412611 x 544677781 x 1827711563 x 12299
Negative: -1 x -142213337-7 x -20316191-31 x -4587527-49 x -2902313-217 x -655361-251 x -566587-373 x -381269-1519 x -93623-1757 x -80941-2611 x -54467-7781 x -18277-11563 x -12299


How do I find the factor combinations of the number 142,213,337?

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 142,213,337, 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.

1 142,213,337
-1 -142,213,337

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 142,213,337.

Example:
1 x 142,213,337 = 142,213,337
and
-1 x -142,213,337 = 142,213,337
Notice both answers equal 142,213,337

With that explanation out of the way, let's continue. Next, we take the number 142,213,337 and divide it by 2:

142,213,337 ÷ 2 = 71,106,668.5

If the quotient is a whole number, then 2 and 71,106,668.5 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:

1 142,213,337
-1 -142,213,337

Now, we try dividing 142,213,337 by 3:

142,213,337 ÷ 3 = 47,404,445.6667

If the quotient is a whole number, then 3 and 47,404,445.6667 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:

1 142,213,337
-1 -142,213,337

Let's try dividing by 4:

142,213,337 ÷ 4 = 35,553,334.25

If the quotient is a whole number, then 4 and 35,553,334.25 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:

1 142,213,337
-1 142,213,337
Keep dividing by the next highest number until you cannot divide anymore.

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

1731492172513731,5191,7572,6117,78111,56312,29918,27754,46780,94193,623381,269566,587655,3612,902,3134,587,52720,316,191142,213,337
-1-7-31-49-217-251-373-1,519-1,757-2,611-7,781-11,563-12,299-18,277-54,467-80,941-93,623-381,269-566,587-655,361-2,902,313-4,587,527-20,316,191-142,213,337

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