Q: What are the factor combinations of the number 102,010,321?
A:
Positive:
1 x 1020103217 x 14572903
Negative:
-1 x -102010321-7 x -14572903
A:
Positive:
1 x 1020103217 x 14572903
Negative:
-1 x -102010321-7 x -14572903
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 102,010,321, 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 | 102,010,321 | |
-1 | -102,010,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,010,321.
Example:
1 x 102,010,321 = 102,010,321
and
-1 x -102,010,321 = 102,010,321
Notice both answers equal 102,010,321
With that explanation out of the way, let's continue. Next, we take the number 102,010,321 and divide it by 2:
102,010,321 ÷ 2 = 51,005,160.5
If the quotient is a whole number, then 2 and 51,005,160.5 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 | 102,010,321 | |
-1 | -102,010,321 |
Now, we try dividing 102,010,321 by 3:
102,010,321 ÷ 3 = 34,003,440.3333
If the quotient is a whole number, then 3 and 34,003,440.3333 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 | 102,010,321 | |
-1 | -102,010,321 |
Let's try dividing by 4:
102,010,321 ÷ 4 = 25,502,580.25
If the quotient is a whole number, then 4 and 25,502,580.25 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 | 102,010,321 | |
-1 | 102,010,321 |
If you did it right, you will end up with this table:
1 | 7 | 14,572,903 | 102,010,321 |
-1 | -7 | -14,572,903 | -102,010,321 |
Here are some more numbers to try:
Try the factor calculator