Q: What are the factor combinations of the number 116,224,003?

 A:
Positive:   1 x 1162240037 x 16603429113 x 1028531791 x 146933
Negative: -1 x -116224003-7 x -16603429-113 x -1028531-791 x -146933


How do I find the factor combinations of the number 116,224,003?

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 116,224,003, 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.

1 116,224,003
-1 -116,224,003

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 116,224,003.

Example:
1 x 116,224,003 = 116,224,003
and
-1 x -116,224,003 = 116,224,003
Notice both answers equal 116,224,003

With that explanation out of the way, let's continue. Next, we take the number 116,224,003 and divide it by 2:

116,224,003 ÷ 2 = 58,112,001.5

If the quotient is a whole number, then 2 and 58,112,001.5 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:

1 116,224,003
-1 -116,224,003

Now, we try dividing 116,224,003 by 3:

116,224,003 ÷ 3 = 38,741,334.3333

If the quotient is a whole number, then 3 and 38,741,334.3333 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:

1 116,224,003
-1 -116,224,003

Let's try dividing by 4:

116,224,003 ÷ 4 = 29,056,000.75

If the quotient is a whole number, then 4 and 29,056,000.75 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:

1 116,224,003
-1 116,224,003
Keep dividing by the next highest number until you cannot divide anymore.

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

17113791146,9331,028,53116,603,429116,224,003
-1-7-113-791-146,933-1,028,531-16,603,429-116,224,003

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