Q: What are the factor combinations of the number 143,337,143?

 A:
Positive:   1 x 14333714371 x 2018833239 x 5997378447 x 16969
Negative: -1 x -143337143-71 x -2018833-239 x -599737-8447 x -16969


How do I find the factor combinations of the number 143,337,143?

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 143,337,143, 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.

1 143,337,143
-1 -143,337,143

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 143,337,143.

Example:
1 x 143,337,143 = 143,337,143
and
-1 x -143,337,143 = 143,337,143
Notice both answers equal 143,337,143

With that explanation out of the way, let's continue. Next, we take the number 143,337,143 and divide it by 2:

143,337,143 ÷ 2 = 71,668,571.5

If the quotient is a whole number, then 2 and 71,668,571.5 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:

1 143,337,143
-1 -143,337,143

Now, we try dividing 143,337,143 by 3:

143,337,143 ÷ 3 = 47,779,047.6667

If the quotient is a whole number, then 3 and 47,779,047.6667 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:

1 143,337,143
-1 -143,337,143

Let's try dividing by 4:

143,337,143 ÷ 4 = 35,834,285.75

If the quotient is a whole number, then 4 and 35,834,285.75 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:

1 143,337,143
-1 143,337,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1712398,44716,969599,7372,018,833143,337,143
-1-71-239-8,447-16,969-599,737-2,018,833-143,337,143

More Examples

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