Q: What are the factor combinations of the number 140,043,215?

 A:
Positive:   1 x 1400432155 x 2800864313 x 1077255565 x 2154511157 x 891995785 x 1783992041 x 6861510205 x 13723
Negative: -1 x -140043215-5 x -28008643-13 x -10772555-65 x -2154511-157 x -891995-785 x -178399-2041 x -68615-10205 x -13723


How do I find the factor combinations of the number 140,043,215?

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 140,043,215, 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.

1 140,043,215
-1 -140,043,215

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 140,043,215.

Example:
1 x 140,043,215 = 140,043,215
and
-1 x -140,043,215 = 140,043,215
Notice both answers equal 140,043,215

With that explanation out of the way, let's continue. Next, we take the number 140,043,215 and divide it by 2:

140,043,215 ÷ 2 = 70,021,607.5

If the quotient is a whole number, then 2 and 70,021,607.5 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:

1 140,043,215
-1 -140,043,215

Now, we try dividing 140,043,215 by 3:

140,043,215 ÷ 3 = 46,681,071.6667

If the quotient is a whole number, then 3 and 46,681,071.6667 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:

1 140,043,215
-1 -140,043,215

Let's try dividing by 4:

140,043,215 ÷ 4 = 35,010,803.75

If the quotient is a whole number, then 4 and 35,010,803.75 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:

1 140,043,215
-1 140,043,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651577852,04110,20513,72368,615178,399891,9952,154,51110,772,55528,008,643140,043,215
-1-5-13-65-157-785-2,041-10,205-13,723-68,615-178,399-891,995-2,154,511-10,772,555-28,008,643-140,043,215

More Examples

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