Q: What are the factor combinations of the number 152,654,365?
A:
Positive:
1 x 1526543655 x 30530873
Negative:
-1 x -152654365-5 x -30530873
A:
Positive:
1 x 1526543655 x 30530873
Negative:
-1 x -152654365-5 x -30530873
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 152,654,365, 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 | 152,654,365 | |
-1 | -152,654,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 152,654,365.
Example:
1 x 152,654,365 = 152,654,365
and
-1 x -152,654,365 = 152,654,365
Notice both answers equal 152,654,365
With that explanation out of the way, let's continue. Next, we take the number 152,654,365 and divide it by 2:
152,654,365 ÷ 2 = 76,327,182.5
If the quotient is a whole number, then 2 and 76,327,182.5 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 | 152,654,365 | |
-1 | -152,654,365 |
Now, we try dividing 152,654,365 by 3:
152,654,365 ÷ 3 = 50,884,788.3333
If the quotient is a whole number, then 3 and 50,884,788.3333 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 | 152,654,365 | |
-1 | -152,654,365 |
Let's try dividing by 4:
152,654,365 ÷ 4 = 38,163,591.25
If the quotient is a whole number, then 4 and 38,163,591.25 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 | 152,654,365 | |
-1 | 152,654,365 |
If you did it right, you will end up with this table:
1 | 5 | 30,530,873 | 152,654,365 |
-1 | -5 | -30,530,873 | -152,654,365 |
Here are some more numbers to try:
Try the factor calculator