Q: What are the factor combinations of the number 364,145,401?
A:
Positive:
1 x 3641454012423 x 150287
Negative:
-1 x -364145401-2423 x -150287
A:
Positive:
1 x 3641454012423 x 150287
Negative:
-1 x -364145401-2423 x -150287
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 364,145,401, 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 | 364,145,401 | |
-1 | -364,145,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 364,145,401.
Example:
1 x 364,145,401 = 364,145,401
and
-1 x -364,145,401 = 364,145,401
Notice both answers equal 364,145,401
With that explanation out of the way, let's continue. Next, we take the number 364,145,401 and divide it by 2:
364,145,401 ÷ 2 = 182,072,700.5
If the quotient is a whole number, then 2 and 182,072,700.5 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 | 364,145,401 | |
-1 | -364,145,401 |
Now, we try dividing 364,145,401 by 3:
364,145,401 ÷ 3 = 121,381,800.3333
If the quotient is a whole number, then 3 and 121,381,800.3333 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 | 364,145,401 | |
-1 | -364,145,401 |
Let's try dividing by 4:
364,145,401 ÷ 4 = 91,036,350.25
If the quotient is a whole number, then 4 and 91,036,350.25 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 | 364,145,401 | |
-1 | 364,145,401 |
If you did it right, you will end up with this table:
1 | 2,423 | 150,287 | 364,145,401 |
-1 | -2,423 | -150,287 | -364,145,401 |
Here are some more numbers to try:
Try the factor calculator