Q: What are the factor combinations of the number 143,771,111?

 A:
Positive:   1 x 14377111111 x 13070101121 x 1188191929 x 1547591279 x 11240910219 x 14069
Negative: -1 x -143771111-11 x -13070101-121 x -1188191-929 x -154759-1279 x -112409-10219 x -14069


How do I find the factor combinations of the number 143,771,111?

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 143,771,111, 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.

1 143,771,111
-1 -143,771,111

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 143,771,111.

Example:
1 x 143,771,111 = 143,771,111
and
-1 x -143,771,111 = 143,771,111
Notice both answers equal 143,771,111

With that explanation out of the way, let's continue. Next, we take the number 143,771,111 and divide it by 2:

143,771,111 ÷ 2 = 71,885,555.5

If the quotient is a whole number, then 2 and 71,885,555.5 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:

1 143,771,111
-1 -143,771,111

Now, we try dividing 143,771,111 by 3:

143,771,111 ÷ 3 = 47,923,703.6667

If the quotient is a whole number, then 3 and 47,923,703.6667 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:

1 143,771,111
-1 -143,771,111

Let's try dividing by 4:

143,771,111 ÷ 4 = 35,942,777.75

If the quotient is a whole number, then 4 and 35,942,777.75 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:

1 143,771,111
-1 143,771,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1111219291,27910,21914,069112,409154,7591,188,19113,070,101143,771,111
-1-11-121-929-1,279-10,219-14,069-112,409-154,759-1,188,191-13,070,101-143,771,111

More Examples

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