Q: What are the factor combinations of the number 143,207,371?

 A:
Positive:   1 x 14320737117 x 8423963571 x 2508019707 x 14753
Negative: -1 x -143207371-17 x -8423963-571 x -250801-9707 x -14753


How do I find the factor combinations of the number 143,207,371?

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 143,207,371, 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.

1 143,207,371
-1 -143,207,371

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 143,207,371.

Example:
1 x 143,207,371 = 143,207,371
and
-1 x -143,207,371 = 143,207,371
Notice both answers equal 143,207,371

With that explanation out of the way, let's continue. Next, we take the number 143,207,371 and divide it by 2:

143,207,371 ÷ 2 = 71,603,685.5

If the quotient is a whole number, then 2 and 71,603,685.5 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:

1 143,207,371
-1 -143,207,371

Now, we try dividing 143,207,371 by 3:

143,207,371 ÷ 3 = 47,735,790.3333

If the quotient is a whole number, then 3 and 47,735,790.3333 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:

1 143,207,371
-1 -143,207,371

Let's try dividing by 4:

143,207,371 ÷ 4 = 35,801,842.75

If the quotient is a whole number, then 4 and 35,801,842.75 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:

1 143,207,371
-1 143,207,371
Keep dividing by the next highest number until you cannot divide anymore.

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

1175719,70714,753250,8018,423,963143,207,371
-1-17-571-9,707-14,753-250,801-8,423,963-143,207,371

More Examples

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