Q: What are the factor combinations of the number 701,745,371?
A:
Positive:
1 x 7017453716961 x 100811
Negative:
-1 x -701745371-6961 x -100811
A:
Positive:
1 x 7017453716961 x 100811
Negative:
-1 x -701745371-6961 x -100811
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 701,745,371, 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 | 701,745,371 | |
-1 | -701,745,371 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 701,745,371.
Example:
1 x 701,745,371 = 701,745,371
and
-1 x -701,745,371 = 701,745,371
Notice both answers equal 701,745,371
With that explanation out of the way, let's continue. Next, we take the number 701,745,371 and divide it by 2:
701,745,371 ÷ 2 = 350,872,685.5
If the quotient is a whole number, then 2 and 350,872,685.5 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 | 701,745,371 | |
-1 | -701,745,371 |
Now, we try dividing 701,745,371 by 3:
701,745,371 ÷ 3 = 233,915,123.6667
If the quotient is a whole number, then 3 and 233,915,123.6667 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 | 701,745,371 | |
-1 | -701,745,371 |
Let's try dividing by 4:
701,745,371 ÷ 4 = 175,436,342.75
If the quotient is a whole number, then 4 and 175,436,342.75 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 | 701,745,371 | |
-1 | 701,745,371 |
If you did it right, you will end up with this table:
1 | 6,961 | 100,811 | 701,745,371 |
-1 | -6,961 | -100,811 | -701,745,371 |
Here are some more numbers to try:
Try the factor calculator