Q: What are the factor combinations of the number 731,470,615?
A:
Positive:
1 x 7314706155 x 146294123
Negative:
-1 x -731470615-5 x -146294123
A:
Positive:
1 x 7314706155 x 146294123
Negative:
-1 x -731470615-5 x -146294123
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 731,470,615, 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 | 731,470,615 | |
-1 | -731,470,615 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 731,470,615.
Example:
1 x 731,470,615 = 731,470,615
and
-1 x -731,470,615 = 731,470,615
Notice both answers equal 731,470,615
With that explanation out of the way, let's continue. Next, we take the number 731,470,615 and divide it by 2:
731,470,615 ÷ 2 = 365,735,307.5
If the quotient is a whole number, then 2 and 365,735,307.5 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 | 731,470,615 | |
-1 | -731,470,615 |
Now, we try dividing 731,470,615 by 3:
731,470,615 ÷ 3 = 243,823,538.3333
If the quotient is a whole number, then 3 and 243,823,538.3333 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 | 731,470,615 | |
-1 | -731,470,615 |
Let's try dividing by 4:
731,470,615 ÷ 4 = 182,867,653.75
If the quotient is a whole number, then 4 and 182,867,653.75 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 | 731,470,615 | |
-1 | 731,470,615 |
If you did it right, you will end up with this table:
1 | 5 | 146,294,123 | 731,470,615 |
-1 | -5 | -146,294,123 | -731,470,615 |
Here are some more numbers to try:
Try the factor calculator