Q: What are the factor combinations of the number 224,421,131?

 A:
Positive:   1 x 22442113111 x 2040192117 x 1320124371 x 3160861187 x 1200113781 x 2873511207 x 18593313277 x 16903
Negative: -1 x -224421131-11 x -20401921-17 x -13201243-71 x -3160861-187 x -1200113-781 x -287351-1207 x -185933-13277 x -16903


How do I find the factor combinations of the number 224,421,131?

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 224,421,131, 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.

1 224,421,131
-1 -224,421,131

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 224,421,131.

Example:
1 x 224,421,131 = 224,421,131
and
-1 x -224,421,131 = 224,421,131
Notice both answers equal 224,421,131

With that explanation out of the way, let's continue. Next, we take the number 224,421,131 and divide it by 2:

224,421,131 ÷ 2 = 112,210,565.5

If the quotient is a whole number, then 2 and 112,210,565.5 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:

1 224,421,131
-1 -224,421,131

Now, we try dividing 224,421,131 by 3:

224,421,131 ÷ 3 = 74,807,043.6667

If the quotient is a whole number, then 3 and 74,807,043.6667 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:

1 224,421,131
-1 -224,421,131

Let's try dividing by 4:

224,421,131 ÷ 4 = 56,105,282.75

If the quotient is a whole number, then 4 and 56,105,282.75 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:

1 224,421,131
-1 224,421,131
Keep dividing by the next highest number until you cannot divide anymore.

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

11117711877811,20713,27716,903185,933287,3511,200,1133,160,86113,201,24320,401,921224,421,131
-1-11-17-71-187-781-1,207-13,277-16,903-185,933-287,351-1,200,113-3,160,861-13,201,243-20,401,921-224,421,131

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