Q: What are the factor combinations of the number 142,154,339?

 A:
Positive:   1 x 14215433941 x 346717961 x 2330399113 x 1258003503 x 2826132501 x 568394633 x 306836893 x 20623
Negative: -1 x -142154339-41 x -3467179-61 x -2330399-113 x -1258003-503 x -282613-2501 x -56839-4633 x -30683-6893 x -20623


How do I find the factor combinations of the number 142,154,339?

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 142,154,339, 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.

1 142,154,339
-1 -142,154,339

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 142,154,339.

Example:
1 x 142,154,339 = 142,154,339
and
-1 x -142,154,339 = 142,154,339
Notice both answers equal 142,154,339

With that explanation out of the way, let's continue. Next, we take the number 142,154,339 and divide it by 2:

142,154,339 ÷ 2 = 71,077,169.5

If the quotient is a whole number, then 2 and 71,077,169.5 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:

1 142,154,339
-1 -142,154,339

Now, we try dividing 142,154,339 by 3:

142,154,339 ÷ 3 = 47,384,779.6667

If the quotient is a whole number, then 3 and 47,384,779.6667 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:

1 142,154,339
-1 -142,154,339

Let's try dividing by 4:

142,154,339 ÷ 4 = 35,538,584.75

If the quotient is a whole number, then 4 and 35,538,584.75 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:

1 142,154,339
-1 142,154,339
Keep dividing by the next highest number until you cannot divide anymore.

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

141611135032,5014,6336,89320,62330,68356,839282,6131,258,0032,330,3993,467,179142,154,339
-1-41-61-113-503-2,501-4,633-6,893-20,623-30,683-56,839-282,613-1,258,003-2,330,399-3,467,179-142,154,339

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