Q: What are the factor combinations of the number 140,010,311?

 A:
Positive:   1 x 1400103117 x 2000147361 x 2295251131 x 1068781427 x 327893917 x 1526832503 x 559377991 x 17521
Negative: -1 x -140010311-7 x -20001473-61 x -2295251-131 x -1068781-427 x -327893-917 x -152683-2503 x -55937-7991 x -17521


How do I find the factor combinations of the number 140,010,311?

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 140,010,311, 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.

1 140,010,311
-1 -140,010,311

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 140,010,311.

Example:
1 x 140,010,311 = 140,010,311
and
-1 x -140,010,311 = 140,010,311
Notice both answers equal 140,010,311

With that explanation out of the way, let's continue. Next, we take the number 140,010,311 and divide it by 2:

140,010,311 ÷ 2 = 70,005,155.5

If the quotient is a whole number, then 2 and 70,005,155.5 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:

1 140,010,311
-1 -140,010,311

Now, we try dividing 140,010,311 by 3:

140,010,311 ÷ 3 = 46,670,103.6667

If the quotient is a whole number, then 3 and 46,670,103.6667 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:

1 140,010,311
-1 -140,010,311

Let's try dividing by 4:

140,010,311 ÷ 4 = 35,002,577.75

If the quotient is a whole number, then 4 and 35,002,577.75 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:

1 140,010,311
-1 140,010,311
Keep dividing by the next highest number until you cannot divide anymore.

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

17611314279172,5037,99117,52155,937152,683327,8931,068,7812,295,25120,001,473140,010,311
-1-7-61-131-427-917-2,503-7,991-17,521-55,937-152,683-327,893-1,068,781-2,295,251-20,001,473-140,010,311

More Examples

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