1. Steps to find factors of 418 using Division Method

Example: Find factors of 418

  • Divide 418 by 1: 418 ÷ 1 : Remainder = 0
  • Divide 418 by 2: 418 ÷ 2 : Remainder = 0
  • Divide 418 by 11: 418 ÷ 11 : Remainder = 0
  • Divide 418 by 19: 418 ÷ 19 : Remainder = 0
  • Divide 418 by 22: 418 ÷ 22 : Remainder = 0
  • Divide 418 by 38: 418 ÷ 38 : Remainder = 0
  • Divide 418 by 209: 418 ÷ 209 : Remainder = 0
  • Divide 418 by 418: 418 ÷ 418 : Remainder = 0

Hence, Factors of 418 are 1, 2, 11, 19, 22, 38, 209, and 418

2. Steps to find factors of 418 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 418 using the division method, follow these steps:

  • Step 1. Start dividing 418 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 418, which is 2. Divide 418 by 2 to obtain the quotient (209).
    418 ÷ 2 = 209
  • Step 3. Repeat step 1 with the obtained quotient (209).
    209 ÷ 11 = 19
    19 ÷ 19 = 1

So, the prime factorization of 418 is, 418 = 2 x 11 x 19.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 418 as shown below:

So, the prime factorization of 418 is, 418 = 2 x 11 x 19.

3. Find factors of 418 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 418 would be the two numbers which, when multiplied, give 418 as the result.

The following table represents the calculation of factors of 418 in pairs:

Factor Pair Pair Factorization
1 and 418 1 x 418 = 418
2 and 209 2 x 209 = 418
11 and 38 11 x 38 = 418
19 and 22 19 x 22 = 418

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 418. They are called negative pair factors.

Hence, the negative pairs of 418 would be ( -1 , -418 ) , ( -2 , -209 ) , ( -11 , -38 ) and ( -19 , -22 ) .

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

  • Each number is a factor of itself. Eg. 418 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 11, 19, 22, 38, 209, 418 are exact divisors of 418.
  • 1 is a factor of every number. Eg. 1 is a factor of 418.
  • Every number is a factor of zero (0), since 418 x 0 = 0.

Frequently Asked Questions

  • Is 418 a perfect square?

    No 418 is not a perfect square.

  • What are factors of 418?

    Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418.

  • Which is greatest factor of 418?

    The greatest factor of 418 is 209.

  • What is the sum of all factors of 418?

    The sum of all factors of 418 is 720.

  • What are multiples of 418?

    First five multiples of 418 are 836, 1254, 1672, 2090.

  • What is the greatest prime factors of 418?

    The greatest prime factor of 418 is 19.

  • What are six multiples of 418?

    First five multiples of 418 are 836, 1254, 1672, 2090, 2508, 2926.

  • What is prime factorization of 418?

    Prime factorization of 418 is 2 x 11 x 19.

  • Is 418 a whole number?

    Yes 418 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 418? Help her in writing all the factors.

Positive factors are 1, 2, 11, 19, 22, 38, 209, 418.
Negative factors are -1, -2, -11, -19, -22, -38, -209, -418.

Can you help Sammy find out the product of the odd factors of 418?

Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418.
Odd factors of 418 are 1, 11, 19, 209.
Hence product of odd factors of 418 is; 1 x 11 x 19 x 209 = 43681.

Joey wants to write all the prime factors of 418 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 418 are 2, 11, 19.
So in exponential form it can be written as 2 x 11 x 19.

How many factors are there for 418?

Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 418. Can you predict the answer?

7 factor(s) of 418 are 1, 2, 11, 19, 22, 38, 209.

Sammy is puzzled while calculating the prime factors of 418. Can you help him find them?

Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418.
Prime factors of 418 are 2, 11, 19

What is prime factorization of 418?

Prime factorization of 418 is 2 x 11 x 19 = 2 x 11 x 19.