Q: What are the factor combinations of the number 143,431,399?

 A:
Positive:   1 x 14343139919 x 7549021557 x 25750710583 x 13553
Negative: -1 x -143431399-19 x -7549021-557 x -257507-10583 x -13553


How do I find the factor combinations of the number 143,431,399?

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 143,431,399, 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.

1 143,431,399
-1 -143,431,399

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 143,431,399.

Example:
1 x 143,431,399 = 143,431,399
and
-1 x -143,431,399 = 143,431,399
Notice both answers equal 143,431,399

With that explanation out of the way, let's continue. Next, we take the number 143,431,399 and divide it by 2:

143,431,399 ÷ 2 = 71,715,699.5

If the quotient is a whole number, then 2 and 71,715,699.5 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:

1 143,431,399
-1 -143,431,399

Now, we try dividing 143,431,399 by 3:

143,431,399 ÷ 3 = 47,810,466.3333

If the quotient is a whole number, then 3 and 47,810,466.3333 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:

1 143,431,399
-1 -143,431,399

Let's try dividing by 4:

143,431,399 ÷ 4 = 35,857,849.75

If the quotient is a whole number, then 4 and 35,857,849.75 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:

1 143,431,399
-1 143,431,399
Keep dividing by the next highest number until you cannot divide anymore.

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

11955710,58313,553257,5077,549,021143,431,399
-1-19-557-10,583-13,553-257,507-7,549,021-143,431,399

More Examples

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