Q: What are the factor combinations of the number 704,724,047?
A:
Positive:
1 x 7047240472531 x 278437
Negative:
-1 x -704724047-2531 x -278437
A:
Positive:
1 x 7047240472531 x 278437
Negative:
-1 x -704724047-2531 x -278437
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 704,724,047, 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 | 704,724,047 | |
-1 | -704,724,047 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 704,724,047.
Example:
1 x 704,724,047 = 704,724,047
and
-1 x -704,724,047 = 704,724,047
Notice both answers equal 704,724,047
With that explanation out of the way, let's continue. Next, we take the number 704,724,047 and divide it by 2:
704,724,047 ÷ 2 = 352,362,023.5
If the quotient is a whole number, then 2 and 352,362,023.5 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 | 704,724,047 | |
-1 | -704,724,047 |
Now, we try dividing 704,724,047 by 3:
704,724,047 ÷ 3 = 234,908,015.6667
If the quotient is a whole number, then 3 and 234,908,015.6667 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 | 704,724,047 | |
-1 | -704,724,047 |
Let's try dividing by 4:
704,724,047 ÷ 4 = 176,181,011.75
If the quotient is a whole number, then 4 and 176,181,011.75 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 | 704,724,047 | |
-1 | 704,724,047 |
If you did it right, you will end up with this table:
1 | 2,531 | 278,437 | 704,724,047 |
-1 | -2,531 | -278,437 | -704,724,047 |
Here are some more numbers to try:
Try the factor calculator