Factors of 409

2. Steps to find factors of 409 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 409 using the division method, follow these steps:

• Step 1. Start dividing 409 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 409, which is 409. Divide 409 by 409 to obtain the quotient (1).
  409 ÷ 409 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 409 is, 409 = 409.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 409 as shown below:

So, the prime factorization of 409 is, 409 = 409.

3. Find factors of 409 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 409 would be the two numbers which, when multiplied, give 409 as the result.

The following table represents the calculation of factors of 409 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 409. They are called negative pair factors.

Hence, the negative pairs of 409 would be ( -1 , -409 ) , .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 409 are exact divisors of 409.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 409 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 409.

Frequently Asked Questions

• Is 409 a perfect square?

  No 409 is not a perfect square.

• What are factors of 409?

  Factors of 409 are 1, 409.

• Which is greatest factor of 409?

  The greatest factor of 409 is 1.

• What is the sum of all factors of 409?

  The sum of all factors of 409 is 410.

• What are multiples of 409?

  First five multiples of 409 are 818, 1227, 1636, 2045.

• What is the greatest prime factors of 409?

  The greatest prime factor of 409 is 409.

• What are six multiples of 409?

  First five multiples of 409 are 818, 1227, 1636, 2045, 2454, 2863.

• What is prime factorization of 409?

  Prime factorization of 409 is 409.

• Is 409 a whole number?

  Yes 409 is a whole number.

Examples of Factors