Q: What are the factor combinations of the number 140,443,003?

 A:
Positive:   1 x 14044300319 x 739173747 x 2988149893 x 157271
Negative: -1 x -140443003-19 x -7391737-47 x -2988149-893 x -157271


How do I find the factor combinations of the number 140,443,003?

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 140,443,003, 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.

1 140,443,003
-1 -140,443,003

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 140,443,003.

Example:
1 x 140,443,003 = 140,443,003
and
-1 x -140,443,003 = 140,443,003
Notice both answers equal 140,443,003

With that explanation out of the way, let's continue. Next, we take the number 140,443,003 and divide it by 2:

140,443,003 ÷ 2 = 70,221,501.5

If the quotient is a whole number, then 2 and 70,221,501.5 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:

1 140,443,003
-1 -140,443,003

Now, we try dividing 140,443,003 by 3:

140,443,003 ÷ 3 = 46,814,334.3333

If the quotient is a whole number, then 3 and 46,814,334.3333 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:

1 140,443,003
-1 -140,443,003

Let's try dividing by 4:

140,443,003 ÷ 4 = 35,110,750.75

If the quotient is a whole number, then 4 and 35,110,750.75 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:

1 140,443,003
-1 140,443,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11947893157,2712,988,1497,391,737140,443,003
-1-19-47-893-157,271-2,988,149-7,391,737-140,443,003

More Examples

Here are some more numbers to try:

140,443,001140,443,002140,443,004140,443,005
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