Q: What are the factor combinations of the number 100,000,207?
A:
Positive:
1 x 10000020729 x 3448283
Negative:
-1 x -100000207-29 x -3448283
A:
Positive:
1 x 10000020729 x 3448283
Negative:
-1 x -100000207-29 x -3448283
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 100,000,207, 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 | 100,000,207 | |
-1 | -100,000,207 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,000,207.
Example:
1 x 100,000,207 = 100,000,207
and
-1 x -100,000,207 = 100,000,207
Notice both answers equal 100,000,207
With that explanation out of the way, let's continue. Next, we take the number 100,000,207 and divide it by 2:
100,000,207 ÷ 2 = 50,000,103.5
If the quotient is a whole number, then 2 and 50,000,103.5 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 | 100,000,207 | |
-1 | -100,000,207 |
Now, we try dividing 100,000,207 by 3:
100,000,207 ÷ 3 = 33,333,402.3333
If the quotient is a whole number, then 3 and 33,333,402.3333 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 | 100,000,207 | |
-1 | -100,000,207 |
Let's try dividing by 4:
100,000,207 ÷ 4 = 25,000,051.75
If the quotient is a whole number, then 4 and 25,000,051.75 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 | 100,000,207 | |
-1 | 100,000,207 |
If you did it right, you will end up with this table:
1 | 29 | 3,448,283 | 100,000,207 |
-1 | -29 | -3,448,283 | -100,000,207 |
Here are some more numbers to try:
Try the factor calculator