Q: What are the factor combinations of the number 705,146,627?
A:
Positive:
1 x 70514662723 x 30658549
Negative:
-1 x -705146627-23 x -30658549
A:
Positive:
1 x 70514662723 x 30658549
Negative:
-1 x -705146627-23 x -30658549
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 705,146,627, 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 | 705,146,627 | |
-1 | -705,146,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 705,146,627.
Example:
1 x 705,146,627 = 705,146,627
and
-1 x -705,146,627 = 705,146,627
Notice both answers equal 705,146,627
With that explanation out of the way, let's continue. Next, we take the number 705,146,627 and divide it by 2:
705,146,627 ÷ 2 = 352,573,313.5
If the quotient is a whole number, then 2 and 352,573,313.5 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 | 705,146,627 | |
-1 | -705,146,627 |
Now, we try dividing 705,146,627 by 3:
705,146,627 ÷ 3 = 235,048,875.6667
If the quotient is a whole number, then 3 and 235,048,875.6667 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 | 705,146,627 | |
-1 | -705,146,627 |
Let's try dividing by 4:
705,146,627 ÷ 4 = 176,286,656.75
If the quotient is a whole number, then 4 and 176,286,656.75 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 | 705,146,627 | |
-1 | 705,146,627 |
If you did it right, you will end up with this table:
1 | 23 | 30,658,549 | 705,146,627 |
-1 | -23 | -30,658,549 | -705,146,627 |
Here are some more numbers to try:
Try the factor calculator