Q: What are the factor combinations of the number 140,023,331?

 A:
Positive:   1 x 1400233317 x 2000333319 x 736964949 x 2857619133 x 1052807931 x 150401
Negative: -1 x -140023331-7 x -20003333-19 x -7369649-49 x -2857619-133 x -1052807-931 x -150401


How do I find the factor combinations of the number 140,023,331?

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 140,023,331, 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.

1 140,023,331
-1 -140,023,331

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 140,023,331.

Example:
1 x 140,023,331 = 140,023,331
and
-1 x -140,023,331 = 140,023,331
Notice both answers equal 140,023,331

With that explanation out of the way, let's continue. Next, we take the number 140,023,331 and divide it by 2:

140,023,331 ÷ 2 = 70,011,665.5

If the quotient is a whole number, then 2 and 70,011,665.5 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:

1 140,023,331
-1 -140,023,331

Now, we try dividing 140,023,331 by 3:

140,023,331 ÷ 3 = 46,674,443.6667

If the quotient is a whole number, then 3 and 46,674,443.6667 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:

1 140,023,331
-1 -140,023,331

Let's try dividing by 4:

140,023,331 ÷ 4 = 35,005,832.75

If the quotient is a whole number, then 4 and 35,005,832.75 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:

1 140,023,331
-1 140,023,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171949133931150,4011,052,8072,857,6197,369,64920,003,333140,023,331
-1-7-19-49-133-931-150,401-1,052,807-2,857,619-7,369,649-20,003,333-140,023,331

More Examples

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