Q: What are the factor combinations of the number 143,523,401?

 A:
Positive:   1 x 1435234017 x 2050334317 x 844255349 x 2929049119 x 1206079833 x 172297
Negative: -1 x -143523401-7 x -20503343-17 x -8442553-49 x -2929049-119 x -1206079-833 x -172297


How do I find the factor combinations of the number 143,523,401?

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 143,523,401, 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.

1 143,523,401
-1 -143,523,401

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 143,523,401.

Example:
1 x 143,523,401 = 143,523,401
and
-1 x -143,523,401 = 143,523,401
Notice both answers equal 143,523,401

With that explanation out of the way, let's continue. Next, we take the number 143,523,401 and divide it by 2:

143,523,401 ÷ 2 = 71,761,700.5

If the quotient is a whole number, then 2 and 71,761,700.5 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:

1 143,523,401
-1 -143,523,401

Now, we try dividing 143,523,401 by 3:

143,523,401 ÷ 3 = 47,841,133.6667

If the quotient is a whole number, then 3 and 47,841,133.6667 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:

1 143,523,401
-1 -143,523,401

Let's try dividing by 4:

143,523,401 ÷ 4 = 35,880,850.25

If the quotient is a whole number, then 4 and 35,880,850.25 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:

1 143,523,401
-1 143,523,401
Keep dividing by the next highest number until you cannot divide anymore.

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

171749119833172,2971,206,0792,929,0498,442,55320,503,343143,523,401
-1-7-17-49-119-833-172,297-1,206,079-2,929,049-8,442,553-20,503,343-143,523,401

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 143,523,401:


Ask a Question