Q: What are the factor combinations of the number 224,021,323?
A:
Positive:
1 x 2240213231187 x 188729
Negative:
-1 x -224021323-1187 x -188729
A:
Positive:
1 x 2240213231187 x 188729
Negative:
-1 x -224021323-1187 x -188729
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 224,021,323, it is easier to work with a table - it's called factoring from the outside in.
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 | 224,021,323 | |
-1 | -224,021,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,021,323.
Example:
1 x 224,021,323 = 224,021,323
and
-1 x -224,021,323 = 224,021,323
Notice both answers equal 224,021,323
With that explanation out of the way, let's continue. Next, we take the number 224,021,323 and divide it by 2:
224,021,323 ÷ 2 = 112,010,661.5
If the quotient is a whole number, then 2 and 112,010,661.5 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 | 224,021,323 | |
-1 | -224,021,323 |
Now, we try dividing 224,021,323 by 3:
224,021,323 ÷ 3 = 74,673,774.3333
If the quotient is a whole number, then 3 and 74,673,774.3333 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 | 224,021,323 | |
-1 | -224,021,323 |
Let's try dividing by 4:
224,021,323 ÷ 4 = 56,005,330.75
If the quotient is a whole number, then 4 and 56,005,330.75 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 | 224,021,323 | |
-1 | 224,021,323 |
If you did it right, you will end up with this table:
1 | 1,187 | 188,729 | 224,021,323 |
-1 | -1,187 | -188,729 | -224,021,323 |
Here are some more numbers to try:
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