Q: What are the factor combinations of the number 400,466,227?
A:
Positive:
1 x 4004662277 x 57209461
Negative:
-1 x -400466227-7 x -57209461
A:
Positive:
1 x 4004662277 x 57209461
Negative:
-1 x -400466227-7 x -57209461
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 400,466,227, 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 | 400,466,227 | |
-1 | -400,466,227 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,466,227.
Example:
1 x 400,466,227 = 400,466,227
and
-1 x -400,466,227 = 400,466,227
Notice both answers equal 400,466,227
With that explanation out of the way, let's continue. Next, we take the number 400,466,227 and divide it by 2:
400,466,227 ÷ 2 = 200,233,113.5
If the quotient is a whole number, then 2 and 200,233,113.5 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 | 400,466,227 | |
-1 | -400,466,227 |
Now, we try dividing 400,466,227 by 3:
400,466,227 ÷ 3 = 133,488,742.3333
If the quotient is a whole number, then 3 and 133,488,742.3333 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 | 400,466,227 | |
-1 | -400,466,227 |
Let's try dividing by 4:
400,466,227 ÷ 4 = 100,116,556.75
If the quotient is a whole number, then 4 and 100,116,556.75 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 | 400,466,227 | |
-1 | 400,466,227 |
If you did it right, you will end up with this table:
1 | 7 | 57,209,461 | 400,466,227 |
-1 | -7 | -57,209,461 | -400,466,227 |
Here are some more numbers to try:
Try the factor calculator