Q: What are the factor combinations of the number 102,144,029?
A:
Positive:
1 x 10214402913 x 7857233
Negative:
-1 x -102144029-13 x -7857233
A:
Positive:
1 x 10214402913 x 7857233
Negative:
-1 x -102144029-13 x -7857233
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 102,144,029, 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 | 102,144,029 | |
-1 | -102,144,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,144,029.
Example:
1 x 102,144,029 = 102,144,029
and
-1 x -102,144,029 = 102,144,029
Notice both answers equal 102,144,029
With that explanation out of the way, let's continue. Next, we take the number 102,144,029 and divide it by 2:
102,144,029 ÷ 2 = 51,072,014.5
If the quotient is a whole number, then 2 and 51,072,014.5 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 | 102,144,029 | |
-1 | -102,144,029 |
Now, we try dividing 102,144,029 by 3:
102,144,029 ÷ 3 = 34,048,009.6667
If the quotient is a whole number, then 3 and 34,048,009.6667 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 | 102,144,029 | |
-1 | -102,144,029 |
Let's try dividing by 4:
102,144,029 ÷ 4 = 25,536,007.25
If the quotient is a whole number, then 4 and 25,536,007.25 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 | 102,144,029 | |
-1 | 102,144,029 |
If you did it right, you will end up with this table:
1 | 13 | 7,857,233 | 102,144,029 |
-1 | -13 | -7,857,233 | -102,144,029 |
Here are some more numbers to try:
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