Q: What are the factor combinations of the number 143,715,161?

 A:
Positive:   1 x 14371516117 x 8453833487 x 2951038279 x 17359
Negative: -1 x -143715161-17 x -8453833-487 x -295103-8279 x -17359


How do I find the factor combinations of the number 143,715,161?

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 143,715,161, 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.

1 143,715,161
-1 -143,715,161

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 143,715,161.

Example:
1 x 143,715,161 = 143,715,161
and
-1 x -143,715,161 = 143,715,161
Notice both answers equal 143,715,161

With that explanation out of the way, let's continue. Next, we take the number 143,715,161 and divide it by 2:

143,715,161 ÷ 2 = 71,857,580.5

If the quotient is a whole number, then 2 and 71,857,580.5 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:

1 143,715,161
-1 -143,715,161

Now, we try dividing 143,715,161 by 3:

143,715,161 ÷ 3 = 47,905,053.6667

If the quotient is a whole number, then 3 and 47,905,053.6667 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:

1 143,715,161
-1 -143,715,161

Let's try dividing by 4:

143,715,161 ÷ 4 = 35,928,790.25

If the quotient is a whole number, then 4 and 35,928,790.25 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:

1 143,715,161
-1 143,715,161
Keep dividing by the next highest number until you cannot divide anymore.

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

1174878,27917,359295,1038,453,833143,715,161
-1-17-487-8,279-17,359-295,103-8,453,833-143,715,161

More Examples

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