Q: What are the factor combinations of the number 540,014,333?

 A:
Positive:   1 x 54001433317 x 3176554919 x 28421807323 x 1671871487 x 11088593433 x 1573018279 x 652279253 x 58361
Negative: -1 x -540014333-17 x -31765549-19 x -28421807-323 x -1671871-487 x -1108859-3433 x -157301-8279 x -65227-9253 x -58361


How do I find the factor combinations of the number 540,014,333?

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 540,014,333, 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.

1 540,014,333
-1 -540,014,333

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 540,014,333.

Example:
1 x 540,014,333 = 540,014,333
and
-1 x -540,014,333 = 540,014,333
Notice both answers equal 540,014,333

With that explanation out of the way, let's continue. Next, we take the number 540,014,333 and divide it by 2:

540,014,333 ÷ 2 = 270,007,166.5

If the quotient is a whole number, then 2 and 270,007,166.5 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:

1 540,014,333
-1 -540,014,333

Now, we try dividing 540,014,333 by 3:

540,014,333 ÷ 3 = 180,004,777.6667

If the quotient is a whole number, then 3 and 180,004,777.6667 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:

1 540,014,333
-1 -540,014,333

Let's try dividing by 4:

540,014,333 ÷ 4 = 135,003,583.25

If the quotient is a whole number, then 4 and 135,003,583.25 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:

1 540,014,333
-1 540,014,333
Keep dividing by the next highest number until you cannot divide anymore.

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

117193234873,4338,2799,25358,36165,227157,3011,108,8591,671,87128,421,80731,765,549540,014,333
-1-17-19-323-487-3,433-8,279-9,253-58,361-65,227-157,301-1,108,859-1,671,871-28,421,807-31,765,549-540,014,333

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