Q: What are the factor combinations of the number 405,314,101?
A:
Positive:
1 x 40531410116631 x 24371
Negative:
-1 x -405314101-16631 x -24371
A:
Positive:
1 x 40531410116631 x 24371
Negative:
-1 x -405314101-16631 x -24371
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 405,314,101, 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 | 405,314,101 | |
-1 | -405,314,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,314,101.
Example:
1 x 405,314,101 = 405,314,101
and
-1 x -405,314,101 = 405,314,101
Notice both answers equal 405,314,101
With that explanation out of the way, let's continue. Next, we take the number 405,314,101 and divide it by 2:
405,314,101 ÷ 2 = 202,657,050.5
If the quotient is a whole number, then 2 and 202,657,050.5 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 | 405,314,101 | |
-1 | -405,314,101 |
Now, we try dividing 405,314,101 by 3:
405,314,101 ÷ 3 = 135,104,700.3333
If the quotient is a whole number, then 3 and 135,104,700.3333 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 | 405,314,101 | |
-1 | -405,314,101 |
Let's try dividing by 4:
405,314,101 ÷ 4 = 101,328,525.25
If the quotient is a whole number, then 4 and 101,328,525.25 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 | 405,314,101 | |
-1 | 405,314,101 |
If you did it right, you will end up with this table:
1 | 16,631 | 24,371 | 405,314,101 |
-1 | -16,631 | -24,371 | -405,314,101 |
Here are some more numbers to try:
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