Q: What are the factor combinations of the number 701,405?
A:
Positive:
1 x 7014055 x 140281
Negative:
-1 x -701405-5 x -140281
A:
Positive:
1 x 7014055 x 140281
Negative:
-1 x -701405-5 x -140281
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 701,405, 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 | 701,405 | |
-1 | -701,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 701,405.
Example:
1 x 701,405 = 701,405
and
-1 x -701,405 = 701,405
Notice both answers equal 701,405
With that explanation out of the way, let's continue. Next, we take the number 701,405 and divide it by 2:
701,405 ÷ 2 = 350,702.5
If the quotient is a whole number, then 2 and 350,702.5 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 | 701,405 | |
-1 | -701,405 |
Now, we try dividing 701,405 by 3:
701,405 ÷ 3 = 233,801.6667
If the quotient is a whole number, then 3 and 233,801.6667 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 | 701,405 | |
-1 | -701,405 |
Let's try dividing by 4:
701,405 ÷ 4 = 175,351.25
If the quotient is a whole number, then 4 and 175,351.25 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 | 701,405 | |
-1 | 701,405 |
If you did it right, you will end up with this table:
1 | 5 | 140,281 | 701,405 |
-1 | -5 | -140,281 | -701,405 |
Here are some more numbers to try:
Try the factor calculator