Q: What are the factor combinations of the number 143,242,537?

 A:
Positive:   1 x 14324253731 x 4620727457 x 31344110111 x 14167
Negative: -1 x -143242537-31 x -4620727-457 x -313441-10111 x -14167


How do I find the factor combinations of the number 143,242,537?

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 143,242,537, 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.

1 143,242,537
-1 -143,242,537

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 143,242,537.

Example:
1 x 143,242,537 = 143,242,537
and
-1 x -143,242,537 = 143,242,537
Notice both answers equal 143,242,537

With that explanation out of the way, let's continue. Next, we take the number 143,242,537 and divide it by 2:

143,242,537 ÷ 2 = 71,621,268.5

If the quotient is a whole number, then 2 and 71,621,268.5 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:

1 143,242,537
-1 -143,242,537

Now, we try dividing 143,242,537 by 3:

143,242,537 ÷ 3 = 47,747,512.3333

If the quotient is a whole number, then 3 and 47,747,512.3333 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:

1 143,242,537
-1 -143,242,537

Let's try dividing by 4:

143,242,537 ÷ 4 = 35,810,634.25

If the quotient is a whole number, then 4 and 35,810,634.25 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:

1 143,242,537
-1 143,242,537
Keep dividing by the next highest number until you cannot divide anymore.

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

13145710,11114,167313,4414,620,727143,242,537
-1-31-457-10,111-14,167-313,441-4,620,727-143,242,537

More Examples

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