Q: What are the factor combinations of the number 143,265,229?

 A:
Positive:   1 x 14326522923 x 622892331 x 462145967 x 2138287713 x 2009331541 x 929692077 x 689772999 x 47771
Negative: -1 x -143265229-23 x -6228923-31 x -4621459-67 x -2138287-713 x -200933-1541 x -92969-2077 x -68977-2999 x -47771


How do I find the factor combinations of the number 143,265,229?

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 143,265,229, 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.

1 143,265,229
-1 -143,265,229

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 143,265,229.

Example:
1 x 143,265,229 = 143,265,229
and
-1 x -143,265,229 = 143,265,229
Notice both answers equal 143,265,229

With that explanation out of the way, let's continue. Next, we take the number 143,265,229 and divide it by 2:

143,265,229 ÷ 2 = 71,632,614.5

If the quotient is a whole number, then 2 and 71,632,614.5 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:

1 143,265,229
-1 -143,265,229

Now, we try dividing 143,265,229 by 3:

143,265,229 ÷ 3 = 47,755,076.3333

If the quotient is a whole number, then 3 and 47,755,076.3333 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:

1 143,265,229
-1 -143,265,229

Let's try dividing by 4:

143,265,229 ÷ 4 = 35,816,307.25

If the quotient is a whole number, then 4 and 35,816,307.25 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:

1 143,265,229
-1 143,265,229
Keep dividing by the next highest number until you cannot divide anymore.

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

12331677131,5412,0772,99947,77168,97792,969200,9332,138,2874,621,4596,228,923143,265,229
-1-23-31-67-713-1,541-2,077-2,999-47,771-68,977-92,969-200,933-2,138,287-4,621,459-6,228,923-143,265,229

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