Q: What are the factor combinations of the number 533,453,317?
A:
Positive:
1 x 53345331771 x 7513427
Negative:
-1 x -533453317-71 x -7513427
A:
Positive:
1 x 53345331771 x 7513427
Negative:
-1 x -533453317-71 x -7513427
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 533,453,317, 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 | 533,453,317 | |
-1 | -533,453,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 533,453,317.
Example:
1 x 533,453,317 = 533,453,317
and
-1 x -533,453,317 = 533,453,317
Notice both answers equal 533,453,317
With that explanation out of the way, let's continue. Next, we take the number 533,453,317 and divide it by 2:
533,453,317 ÷ 2 = 266,726,658.5
If the quotient is a whole number, then 2 and 266,726,658.5 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 | 533,453,317 | |
-1 | -533,453,317 |
Now, we try dividing 533,453,317 by 3:
533,453,317 ÷ 3 = 177,817,772.3333
If the quotient is a whole number, then 3 and 177,817,772.3333 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 | 533,453,317 | |
-1 | -533,453,317 |
Let's try dividing by 4:
533,453,317 ÷ 4 = 133,363,329.25
If the quotient is a whole number, then 4 and 133,363,329.25 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 | 533,453,317 | |
-1 | 533,453,317 |
If you did it right, you will end up with this table:
1 | 71 | 7,513,427 | 533,453,317 |
-1 | -71 | -7,513,427 | -533,453,317 |
Here are some more numbers to try:
Try the factor calculator