Prime Factors of 413

Steps to find Prime Factors of 413 by Division Method

To find the primefactors of 413 using the division method, follow these steps:

• Step 1. Start dividing 413 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 413, which is 7. Divide 413 by 7 to obtain the quotient (59).
  413 ÷ 7 = 59
• Step 3. Repeat step 1 with the obtained quotient (59).
  59 ÷ 59 = 1

So, the prime factorization of 413 is, 413 = 7 x 59.

Steps to find Prime Factors of 413 by Factor Tree Method

We can follow the same procedure using the factor tree of 413 as shown below:

So, the prime factorization of 413 is, 413 = 7 x 59.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 413 are 7 x 59.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 413 but not a prime factor of 413.

Frequently Asked Questions

• Which is the smallest prime factor of 413?

  Smallest prime factor of 413 is 7.

• Is 413 a perfect square?

  No 413 is not a perfect square.

• What is the prime factorization of 413?

  Prime factorization of 413 is 7 x 59.

• What are the factors of 413?

  Factors of 413 are 1 , 7 , 59 , 413.

• What is prime factorization of 413 in exponential form?

  Prime factorization of 413 in exponential form is 7 x 59.

• Is 413 a prime number or a composite number?

  413 is a composite number.

• Is 413 a prime number?

  false, 413 is not a prime number.

• How to find prime factorization of 413 easily?

  To find prime factorization of 413 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 413?

  The largest prime factor of 413 is 59.