The sum of all the factors of 450 is 1209.
Understanding Factors and Their Sum
Factors of a number are integers that divide the number evenly, leaving no remainder. The sum of factors is simply the total obtained by adding all these individual factors together. Calculating the sum of factors is a common task in number theory, often used to determine properties of numbers, such as whether they are perfect numbers or abundant numbers.
Factors of 450
According to Cuemath, the factors of 450 are:
- 1
- 2
- 3
- 5
- 6
- 9
- 10
- 15
- 18
- 25
- 30
- 45
- 50
- 75
- 90
- 150
- 225
- 450
These are all the positive integers that can divide 450 without a remainder.
Calculating the Sum of Factors
To find the sum of these factors, you simply add them all together:
1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 30 + 45 + 50 + 75 + 90 + 150 + 225 + 450 = 1209
Therefore, as stated by Cuemath, the sum of all the factors of 450 is 1209.
For more information, you can refer to the source: Find Prime Factorization/Factors of 450 - Cuemath
