What is the sum of all of the odd divisors of 180?
By Andrew Walker
The number 180 can be divided by 18 positive divisors (out of which 12 are even, and 6 are odd). The sum of these divisors (counting 180) is 546, the average is 30.,333….Divisors of 180.
| Even divisors | 12 |
|---|---|
| 4k+1 divisors | 4 |
| 4k+3 divisors | 2 |
What two numbers have a sum of 180?
180 is the sum of two square numbers: 122 + 62. It can be expressed as either the sum of six consecutive prime numbers: 19 + 23 + 29 + 31 + 37 + 41, or the sum of eight consecutive prime numbers: 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37.
What is a 180 angle?
Angles that are 180 degrees (θ = 180°) are known as straight angles. • Angles between 180 and 360 degrees (180°< θ < 360°) are called reflex angles. • Angles that are 360 degrees (θ = 360°) are full turn.
Which is the sum of all the factors of the number 18?
Consider the number 18. Sum of factors = 1 + 2 + 3 + 6 + 9 + 18 Writing divisors as powers of prime factors.
Which is the sum of all positive integer factors?
A positive integer factor is the product of 0, 1, 2, or 3 factors of 2, 0 or 1 factor of 3, and 0 or 1 factor of 5. Expanding ( 1 + 2 + 2 2 + 2 3) ( 1 + 3) ( 1 + 5) gives the sum of all possible such products. – Isaac May 31 ’16 at 18:42 Just because it is interesting:
Which is the correct order of the factors of 18?
List the factors of 18 – All the factors of 18 Here is a list of all the positive and negative factors of 18 in numerical order. 1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18
How to calculate the sum of all factors of a number?
// This code is contributed by SanjuTomar. An efficient solution is to use below formula. Let p 1, p 2, … p k be prime factors of n. Let a 1, a 2, .. a k be highest powers of p 1, p 2, .. p k respectively that divide n, i.e., we can write n as n = (p1a1)* (p2a2)* … (pkak).
