Q: What are the factor combinations of the number 143,312,137?

 A:
Positive:   1 x 14331213737 x 3873301113 x 1268249151 x 949087227 x 6313314181 x 342775587 x 256518399 x 17063
Negative: -1 x -143312137-37 x -3873301-113 x -1268249-151 x -949087-227 x -631331-4181 x -34277-5587 x -25651-8399 x -17063


How do I find the factor combinations of the number 143,312,137?

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 143,312,137, 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.

1 143,312,137
-1 -143,312,137

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 143,312,137.

Example:
1 x 143,312,137 = 143,312,137
and
-1 x -143,312,137 = 143,312,137
Notice both answers equal 143,312,137

With that explanation out of the way, let's continue. Next, we take the number 143,312,137 and divide it by 2:

143,312,137 ÷ 2 = 71,656,068.5

If the quotient is a whole number, then 2 and 71,656,068.5 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:

1 143,312,137
-1 -143,312,137

Now, we try dividing 143,312,137 by 3:

143,312,137 ÷ 3 = 47,770,712.3333

If the quotient is a whole number, then 3 and 47,770,712.3333 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:

1 143,312,137
-1 -143,312,137

Let's try dividing by 4:

143,312,137 ÷ 4 = 35,828,034.25

If the quotient is a whole number, then 4 and 35,828,034.25 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:

1 143,312,137
-1 143,312,137
Keep dividing by the next highest number until you cannot divide anymore.

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

1371131512274,1815,5878,39917,06325,65134,277631,331949,0871,268,2493,873,301143,312,137
-1-37-113-151-227-4,181-5,587-8,399-17,063-25,651-34,277-631,331-949,087-1,268,249-3,873,301-143,312,137

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