Q: What are the factor combinations of the number 140,444,213?

 A:
Positive:   1 x 1404442137 x 2006345913 x 1080340191 x 15433431129 x 1243971367 x 1027397903 x 177719569 x 14677
Negative: -1 x -140444213-7 x -20063459-13 x -10803401-91 x -1543343-1129 x -124397-1367 x -102739-7903 x -17771-9569 x -14677


How do I find the factor combinations of the number 140,444,213?

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 140,444,213, 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.

1 140,444,213
-1 -140,444,213

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 140,444,213.

Example:
1 x 140,444,213 = 140,444,213
and
-1 x -140,444,213 = 140,444,213
Notice both answers equal 140,444,213

With that explanation out of the way, let's continue. Next, we take the number 140,444,213 and divide it by 2:

140,444,213 ÷ 2 = 70,222,106.5

If the quotient is a whole number, then 2 and 70,222,106.5 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:

1 140,444,213
-1 -140,444,213

Now, we try dividing 140,444,213 by 3:

140,444,213 ÷ 3 = 46,814,737.6667

If the quotient is a whole number, then 3 and 46,814,737.6667 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:

1 140,444,213
-1 -140,444,213

Let's try dividing by 4:

140,444,213 ÷ 4 = 35,111,053.25

If the quotient is a whole number, then 4 and 35,111,053.25 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:

1 140,444,213
-1 140,444,213
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,1291,3677,9039,56914,67717,771102,739124,3971,543,34310,803,40120,063,459140,444,213
-1-7-13-91-1,129-1,367-7,903-9,569-14,677-17,771-102,739-124,397-1,543,343-10,803,401-20,063,459-140,444,213

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