Q: What are the factor combinations of the number 720,175?
A:
Positive:
1 x 7201755 x 14403525 x 28807
Negative:
-1 x -720175-5 x -144035-25 x -28807
A:
Positive:
1 x 7201755 x 14403525 x 28807
Negative:
-1 x -720175-5 x -144035-25 x -28807
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 720,175, 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 | 720,175 | |
-1 | -720,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 720,175.
Example:
1 x 720,175 = 720,175
and
-1 x -720,175 = 720,175
Notice both answers equal 720,175
With that explanation out of the way, let's continue. Next, we take the number 720,175 and divide it by 2:
720,175 ÷ 2 = 360,087.5
If the quotient is a whole number, then 2 and 360,087.5 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 | 720,175 | |
-1 | -720,175 |
Now, we try dividing 720,175 by 3:
720,175 ÷ 3 = 240,058.3333
If the quotient is a whole number, then 3 and 240,058.3333 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 | 720,175 | |
-1 | -720,175 |
Let's try dividing by 4:
720,175 ÷ 4 = 180,043.75
If the quotient is a whole number, then 4 and 180,043.75 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 | 720,175 | |
-1 | 720,175 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 28,807 | 144,035 | 720,175 |
-1 | -5 | -25 | -28,807 | -144,035 | -720,175 |
Here are some more numbers to try:
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