Q: What are the factor combinations of the number 143,803,337?

 A:
Positive:   1 x 14380333723 x 6252319283 x 5081396509 x 22093
Negative: -1 x -143803337-23 x -6252319-283 x -508139-6509 x -22093


How do I find the factor combinations of the number 143,803,337?

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 143,803,337, 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.

1 143,803,337
-1 -143,803,337

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 143,803,337.

Example:
1 x 143,803,337 = 143,803,337
and
-1 x -143,803,337 = 143,803,337
Notice both answers equal 143,803,337

With that explanation out of the way, let's continue. Next, we take the number 143,803,337 and divide it by 2:

143,803,337 ÷ 2 = 71,901,668.5

If the quotient is a whole number, then 2 and 71,901,668.5 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:

1 143,803,337
-1 -143,803,337

Now, we try dividing 143,803,337 by 3:

143,803,337 ÷ 3 = 47,934,445.6667

If the quotient is a whole number, then 3 and 47,934,445.6667 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:

1 143,803,337
-1 -143,803,337

Let's try dividing by 4:

143,803,337 ÷ 4 = 35,950,834.25

If the quotient is a whole number, then 4 and 35,950,834.25 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:

1 143,803,337
-1 143,803,337
Keep dividing by the next highest number until you cannot divide anymore.

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

1232836,50922,093508,1396,252,319143,803,337
-1-23-283-6,509-22,093-508,139-6,252,319-143,803,337

More Examples

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