# Math

What are the factors for 36,27,30,75,,90,84

1. 👍
2. 👎
3. 👁
1. To find the factors of a number, you need to find all of the numbers that can go into it evenly.

For instance, the factors of 36 are:
1, 36, 2, 18, 3, 12, 4, 9, 6

If you post the factors of the other numbers, we'll be glad to check them for you.

1. 👍
2. 👎
👤
Ms. Sue
2. What are the factors for 36,27,30,75,,90,84

* Factoring or factorization is the process of breaking down a composite number into its prime factors and their respective exponents.

* Every composite number can be factored into a unique set of prime factors N = (p^a)(q^b)(r^c).....

* An integer p > 1 is called a prime number, or a prime, when its only divisors are +/- 1 and +/- p.

* Any number m > 1 that is not a prime is called a composite and results from multiplying primes together.

* The number 1 is the only number that is a factor of all other numbers.

*--Two integers, a and b, are said to be relatively prime when their greatest common divisor is 1.

* The factors, or divisors, of a number N are any numbers that evenly divide it. For example, the factors/divisors of
28 are 1, 2, 4, 7, 14 and 28. While all of these are also evenly divisible by their negative counterparts, it is
universally accepted that the positive factors/divisors are what is meant.,

* The proper factors/divisors of a number N are any numbers that evenly divide N other than N itself. For example,
the proper factors/divisors of 12 are considered to be 1, 2, 3, 4 and 6. This is the generally accepted definition of
proper factors/divisors.
There exists some disagreement as to whether the number 1 should be considered a proper factor. Some
mathematicians believe that the proper factors of a number N are any numbers that evenly divide N other than 1
and N. For example, under this definition, the proper factors of 12 are 2, 3, 4 and 6.

* The total number of factors/divisors of a number N, less the number itself, are often referred to as the aliquot parts, or aliquot divisors, of the number.

Divide the number N by all prime numbers less than sqrt(N).

Take 84 for instance.
84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1

Therefore, the prime factorization of the number 84 is 2^2(3)7.

The exponents of 3 and 7 are 1.

The total number of factors/divisors of any number derives from F(N) = (1 + a)(1 + b)(1 + c), etc. where a, b and c are the exponents of the prime factors ofo the number.

Therefore, the total number of factors of 84 are then (2 + 1)(1 + 1)(1 + 1) = 12, or 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

1. 👍
2. 👎

## Similar Questions

1. ### Life orientation

Discuss factors that may cause teenagers to engage in each of the factors that cause risky behaviour

2. ### History

In 3–5 sentences, explain what you think were the most important factors that led to rapid industrialization in the late 1800s, and why were they important. Choose 2–3 factors.

3. ### algebra

Hi can someone plz help me check my answers? 1.Which of the following expressions has three factors?(1 point) A. x+y−4 B.5(p+6)(q−4)***** C.2(7−b) D.(d−3)(c+9) 2.How many factors does the expression (17−r) have? A.one

4. ### chemistry

The question is: What statements are true for the standard entropy change for the conversion of ozone to oxygen? The choices to pick from are: 1. Molecular factors predict an increase in entropy 2. Stoichiometric factors predict a

1. ### Math factors

Lareina understands factors, but sometime she has trouble finding all the factors of a number. Find all the factors of 110 to help her.

2. ### math

You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example,

3. ### chemistry

what statements are true for the standard entropy change for the conversion of ozone to oxygen? Select all the apply? 2 O_3 (g) > 3 O_2 (g) Molecular factors predict an increase in entropy Stoichiometric factors predict a decrease

4. ### Math

Lareina understands factors, but sometimes she has trouble finding all the factors of a number. What advice would you give to help her find all the factors of a number? Demonstrate by finding all the factors of 110.

1. ### Maths

the question says: write down all factors of 6 Show that the sum of all the factors of 6 is equal to 2 x 6 (i got the first part right with the factors but i don't know how to do the second part)

2. ### probability and statistic

Heart failure is due to either natural occurrences (85%) or outside factors (15%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection.

3. ### Math

Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials. 169x^3-1690x^2-9x+90; x-10

4. ### Math

Whole numbers from 1-10 that are factors of… 1260 Whole numbers from 1-10 that are factors of... 73500 Whole numbers from 1-10 that are factors of... 3600 Can I have help ASAP with these three problems? Thank you in advance! :)