Q: What are the factor combinations of the number 142,033,433?

 A:
Positive:   1 x 142033433353 x 402361
Negative: -1 x -142033433-353 x -402361


How do I find the factor combinations of the number 142,033,433?

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 142,033,433, 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.

1 142,033,433
-1 -142,033,433

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 142,033,433.

Example:
1 x 142,033,433 = 142,033,433
and
-1 x -142,033,433 = 142,033,433
Notice both answers equal 142,033,433

With that explanation out of the way, let's continue. Next, we take the number 142,033,433 and divide it by 2:

142,033,433 ÷ 2 = 71,016,716.5

If the quotient is a whole number, then 2 and 71,016,716.5 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:

1 142,033,433
-1 -142,033,433

Now, we try dividing 142,033,433 by 3:

142,033,433 ÷ 3 = 47,344,477.6667

If the quotient is a whole number, then 3 and 47,344,477.6667 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:

1 142,033,433
-1 -142,033,433

Let's try dividing by 4:

142,033,433 ÷ 4 = 35,508,358.25

If the quotient is a whole number, then 4 and 35,508,358.25 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:

1 142,033,433
-1 142,033,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1353402,361142,033,433
-1-353-402,361-142,033,433

More Examples

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