Factors of 300 | Top Q&A

Factor 300 Did you know that the number 300 is even composite due to the product of the three primes 2, 3 and 5? In this lesson, we will factor 300, prime factor of 300 and factor of 300 along with solved examples for your better understanding.

  • Factor 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300
  • Prime factor of 300: 300 = 22 × 3 × 52

1. What is the factor of 300? 2. How to calculate the factor of 300? 3. Factor 300 by prime factor 4. Factor 300 in pairs 5. Factor 300 FAQ

What is the factor of 300?

Contents

The factors of 300 will be any number when divided by 300 with no remainder. Since 300 is a composite number, it will have more than two factors. 300 has a sum of 18 factors. Read: What is the prime factor of 300Factor 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300.

How to calculate the factors of 300?

We can calculate the factors of 300 using the division method. In this method, we divide the number by all divisible numbers. we start with 1, then test 2, 3, .. up to 150 (exactly half of 300). Divisors 300 Factor 300 300/1 = 300 Gives a remainder of 0. Therefore, 1 is a factor. 300/2 = 150 Given a remainder of 0. Therefore, 2 is a factor. 300/3 = 100 Given a remainder of 0. Therefore, 3 is a factor. 300/4 = 75 Given a remainder of 0. Therefore, 4 is a factor. 300/5 = 60 Given a remainder of 0. Therefore, 5 is a factor. 300/6 = 50 Given a remainder of 0. Therefore, 6 is a factor. 300/10 = 30 Given a remainder of 0. Therefore, 10 is a coefficient. 300/12 = 25 Given a remainder of 0. Therefore, 12 is a factor. 300/15 = 20 Given a remainder of 0. Therefore, 12 is a factor. 300/20 = 15 Given a remainder of 0. Therefore, 20 is a factor. 300/25 = 12 Given a remainder of 0. Therefore, 25 is a factor. 300/30 = 10 Let the remainder be 0. Hence, 30 is a coefficient. 300/50 = 6 Let the remainder be 0. Therefore, 50 is a factor. 300/60 = 5 Let the remainder be 0. Hence, 60 is a factor. 300/75 = 4 Let the remainder be 0. Therefore, 75 is a factor. 300/100 = 3 Given a remainder of 0. Hence, 100 is a factor. 300/300 = 1 Given a remainder of 0. Therefore, 300 is a coefficient. the factor of 300 is 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300.Explore elements using interactive illustrations and examples

  • The coefficients of 75 – The coefficients of 75 are 1, 3, 5, 15, 25 and 75.
  • The coefficients of 450 – The coefficients of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225 and 450.
  • The coefficients of 360 – The coefficients of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360.
  • The coefficients of 150 – The coefficients of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.
  • The coefficients of 50 – The coefficients of 50 are 1, 2, 5, 10, 25 and 50.
  • Factors of 25 – The factors of 25 are 1, 5, and 25.
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Tips and tricks:

  • Prime factor of 300 = 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52
  • To get the sum of the factors to be 300:
    • Add one to the exponents of 2, 1, and 5 and multiply their sum.
    • (2 + 1) × (1 + 1) × (2 + 1) = 3 × 2 × 3 = 18
    • Thus, 300 has 18 elements and is as follows: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300.

    Factor 300 in prime factors

    Prime factorization of a number refers to representing a number as a product of its prime factors. The prime factors of any number can be found using the following methods:

    Method 1: Division method

    Read more: what is object store in selenium | Top Q&A Let us find the prime factor of 300 using division method. First divide 300 by the smallest prime i.e. 2,300 / 2 = 150Again, divide 150 by 2,150 / 2 = 752 cannot be a factor in this case, so consider the next prime that has divisible by 75 i.e. 3.75 / 3 = 25 Now move on to the next prime that is divisible by 25 i.e. 5.25 / 5 = 5 Remaining, divide 5 by 5Read more: What says less more meaningful with the division method. Therefore, the prime factor of 300 is 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52 where 2, 3, and 5 are prime numbers.

    Method 2: Factor Tree

    A factor tree is a special branching diagram in which we find the factors of a given number step by step, then the factors of those resulting numbers, until we cannot differentiate. separate them. At the end of the branches of the factor tree, we get all the prime factors of the original number.Thus, the prime factor of 300 is written as 2 × 2 × 3 × 5 × 5 or 22 × 3 × 52 Now that we have made the prime factor of 300 we can multiply the numbers and get other factors. Can you try and find out if all the elements are covered or not? And as you may have guessed, for prime numbers, there are no other factors.

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    300 elements in pairs

    The pair factors of the number 300 are the integers that produce the original number, i.e. 300, when they are multiplied. The factors of the pair can be positive or negative, but never fractions or decimals. 2 × 150 = 300 (2, 150) 3 × 100 = 300 (3, 100) 4 × 75 = 300 (4, 75) 5 × 60 = 300 (5, 60) 6 × 50 = 300 (6, 50) 10 × 30 = 300 (10, 30) 12 × 25 = 300 (12, 25) 15 × 20 = 300 (15, 20) The factors of negative pair of 300 are as follows: Product of Numbers Factor of negative pair define -1 × – 300 = 300 (-1, -300) -2 × -150 = 300 (-2, -150) -3 × -100 = 300 (-3, -100) -4 × -75 = 300 (-4, – 75) -5 × -60 = 300 (-5, -60) -6 × -50 = 300 (-6, -50) -10 × -30 = 300 (-10, -30) – 12 × -25 = 300 (-12, -25) -15 × -20 = 300 (-15, -20)Important note:Read more: 2.10: Percent composition

    • Only integers and integers can be converted to factors.
    • Only composite numbers can have more than two factors.
    • Every factor of a given number is less than or equal to the given number.

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