What is the difference between even and odd factors of 6480?

What is the difference between even and odd factors of 6480?

Solution : Prime Factorization of 180 is 180 = 22 × 32 × 51. Thus, Total number of even factors of 180 is (2)(2 + 1)(1 + 1) = 2 × 3 × 2 = 12. Solution : Prime Factorization of 6480 is 6480 = 24 x 34 x 51. Thus, Total number of even factors of 6480 is (4)(4 + 1)(1 + 1) = 4 × 5 × 2 = 40.

What are the elements of factors of 4?

Factors of 4: 1, 2, 4 (1*4, 2*2). Prime factors of 4: 2, 2 (we had to drop the 1*4 because one is not prime).

Why is 4 a factor?

Ans. Factors of 4: 1, 2, 4. Prime factorization: 4 equal 2 x 2, which can also be written 4 equals 2². Since √4 equals 2, a whole number, 4 is a perfect square.

What is the factor of 180?

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180.

What are odd factors?

To find an odd factor, you need to exclude the even prime factor 2. whereas, the prime factorization of 135 does not contain the prime factor 2, so 135 has no even factors, all factors are odd. Thus, the number of odd factors depends on the prime factor 2 of prime factorization of any number.

What are even factors?

Here is the logic behind the multiplication rules: an even number is divisible by 2, so that means it has 2 as a factor. And when two integers are multiplied, their product has all of the factors of both numbers: the factors accumulate.

Which of these numbers is a multiple of 4?

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

What are the elements of factor?

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

How do you get 180?

Factors pairs are the pairs of two numbers which, when multiplied, give 180.

1. 1 × 180 = 180.
2. 2 × 90 = 180.
3. 3 × 60 = 180.
4. 4 × 45 = 180.
5. 5 × 36 = 180.
6. 6 × 30 = 180.
7. 9 × 20 = 180.
8. 10 × 18 = 180.

What is the LCM of 180?

LCM of 144 and 180 is the smallest number among all common multiples of 144 and 180. The first few multiples of 144 and 180 are (144, 288, 432, 576, 720, . . . ) and (180, 360, 540, 720, 900, 1080, 1260, . . . ) respectively….LCM of 144 and 180.