Factors of 433

2. Steps to find factors of 433 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 433 using the division method, follow these steps:

• Step 1. Start dividing 433 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 433, which is 433. Divide 433 by 433 to obtain the quotient (1).
  433 ÷ 433 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 433 is, 433 = 433.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 433 as shown below:

So, the prime factorization of 433 is, 433 = 433.

3. Find factors of 433 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 433 would be the two numbers which, when multiplied, give 433 as the result.

The following table represents the calculation of factors of 433 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 433. They are called negative pair factors.

Hence, the negative pairs of 433 would be ( -1 , -433 ) , .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 433 are exact divisors of 433.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 433 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 433.

Frequently Asked Questions

• What are the prime factors of 433?

  The factors of 433 are 1, 433.
  Prime factors of 433 are 433.

• What is the sum of all factors of 433?

  The sum of all factors of 433 is 434.

• What are the pair factors of 433?

  Pair factors of 433 are (1,433).

• What two numbers make 433?

  Two numbers that make 433 are 433 and 1.

• What are multiples of 433?

  First five multiples of 433 are 866, 1299, 1732, 2165.

• Is 433 a perfect square?

  No 433 is not a perfect square.

• Which is greatest factor of 433?

  The greatest factor of 433 is 1.

• How do you factors of 433?

  Factors of 433 are 1, 433.

• What are five multiples of 433?

  First five multiples of 433 are 866, 1299, 1732, 2165, 2598.

Examples of Factors