Q: What are the factor combinations of the number 260,034,671?
A:
Positive:
1 x 26003467113 x 20002667
Negative:
-1 x -260034671-13 x -20002667
A:
Positive:
1 x 26003467113 x 20002667
Negative:
-1 x -260034671-13 x -20002667
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 260,034,671, 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 | 260,034,671 | |
-1 | -260,034,671 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 260,034,671.
Example:
1 x 260,034,671 = 260,034,671
and
-1 x -260,034,671 = 260,034,671
Notice both answers equal 260,034,671
With that explanation out of the way, let's continue. Next, we take the number 260,034,671 and divide it by 2:
260,034,671 ÷ 2 = 130,017,335.5
If the quotient is a whole number, then 2 and 130,017,335.5 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 | 260,034,671 | |
-1 | -260,034,671 |
Now, we try dividing 260,034,671 by 3:
260,034,671 ÷ 3 = 86,678,223.6667
If the quotient is a whole number, then 3 and 86,678,223.6667 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 | 260,034,671 | |
-1 | -260,034,671 |
Let's try dividing by 4:
260,034,671 ÷ 4 = 65,008,667.75
If the quotient is a whole number, then 4 and 65,008,667.75 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 | 260,034,671 | |
-1 | 260,034,671 |
If you did it right, you will end up with this table:
1 | 13 | 20,002,667 | 260,034,671 |
-1 | -13 | -20,002,667 | -260,034,671 |
Here are some more numbers to try:
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