Q: What are the factor combinations of the number 585,462,553?
A:
Positive:
1 x 58546255313 x 45035581
Negative:
-1 x -585462553-13 x -45035581
A:
Positive:
1 x 58546255313 x 45035581
Negative:
-1 x -585462553-13 x -45035581
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 585,462,553, 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 | 585,462,553 | |
-1 | -585,462,553 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 585,462,553.
Example:
1 x 585,462,553 = 585,462,553
and
-1 x -585,462,553 = 585,462,553
Notice both answers equal 585,462,553
With that explanation out of the way, let's continue. Next, we take the number 585,462,553 and divide it by 2:
585,462,553 ÷ 2 = 292,731,276.5
If the quotient is a whole number, then 2 and 292,731,276.5 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 | 585,462,553 | |
-1 | -585,462,553 |
Now, we try dividing 585,462,553 by 3:
585,462,553 ÷ 3 = 195,154,184.3333
If the quotient is a whole number, then 3 and 195,154,184.3333 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 | 585,462,553 | |
-1 | -585,462,553 |
Let's try dividing by 4:
585,462,553 ÷ 4 = 146,365,638.25
If the quotient is a whole number, then 4 and 146,365,638.25 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 | 585,462,553 | |
-1 | 585,462,553 |
If you did it right, you will end up with this table:
1 | 13 | 45,035,581 | 585,462,553 |
-1 | -13 | -45,035,581 | -585,462,553 |
Here are some more numbers to try:
Try the factor calculator