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Prime Factors of 60 definition First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 60 are all the prime numbers that when multiplied together equal 60.How to find the Prime Factors of 60 The process of finding the Prime Factors of 60 is called Prime Factorization of 60. To get the Prime Factors of 60, you divide 60 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 60. See illustration below. All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 60. Here is the math to illustrate: 60 ÷ 2 = 3030 ÷ 2 = 1515 ÷ 3 = 55 ÷ 5 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 60. Thus, the Prime Factors of 60 are: 2, 2, 3, 5. How many Prime Factors of 60? When we count the number of prime numbers above, we find that 60 has a total of 4 Prime Factors. Product of Prime Factors of 60 The Prime Factors of 60 are unique to 60. When you multiply all the Prime Factors of 60 together it will result in 60. This is called the Product of Prime Factors of 60. The Product of Prime Factors of 60 is: 2 × 2 × 3 × 5 = 60Prime Factor Calculator Do you need the Prime Factors for a particular number? You can submit a number below to find the Prime Factors of that number with detailed explanations like we did with Prime Factors of 60 above.Prime Factors of 61 We hope this step-by-step tutorial to teach you about Prime Factors of 60 was helpful. Do you want a test? If so, try to find the Prime Factors of the next number on our list and then check your answer here. Copyright | Privacy Policy | Disclaimer | Contact
Factors of 60 are those numbers that divide 60 completely without leaving any remainder. There are 12 factors of 60 among which 60 is the biggest factor and 2, 3 and 5 are its prime factors. The prime factorization of 60 can be done by multiplying all its prime factors such that the product is 60. Let us learn about all factors of 60, the prime factorization of 60, and the factor tree of 60 in this article. What are the Factors of 60?The factors of 60 can be listed as 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. According to the definition of factors, the factors of 60 are those numbers that divide 60 without leaving any remainder. In other words, if two numbers are multiplied and the product is 60, then the numbers are the factors of 60. It means that 60 is completely divisible by all these numbers. Apart from these, 60 also has negative factors that can be listed as, -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30, and -60.. For negative factors, we need to multiply a negative factor by a negative factor, like, (-20) × (-3) = 60. How to Find the Factors of 60?Factorization of a number means writing the number as a product of its factors. The multiplication method is the most commonly used method to find the factors of a number. Let us find the factors of 60 using multiplication. Factors of 60 using MultiplicationLet us find the factors of 60 using the multiplication method using the following steps.
Therefore, the factors of 60 can be listed as 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Now, let us learn about the prime factorization of 60. Prime Factorization of 60Prime factorization is a way of expressing a number as a product of its prime factors. The prime factors of a number are those factors that are prime numbers. The prime factorization of 60 can be done using the following steps. Observe the figure given below to understand the prime factorization of 60.
Therefore, the prime factors of 60 are 2, 3, and 5 and the Prime factorization of 60 = 2 × 2 × 3 × 5 Factor Tree of 60We can also find the prime factors of 60 using a factor tree. The factor tree of 60 can be drawn by factorizing 60 until we reach its prime factors. These factors are split and written in the form of the branches of a tree. The final factors are circled and are considered to be the prime factors of the 60. Let us find the prime factors of 60 using the following steps and the factor tree given below.
Note: It should be noted that there can be different factor trees of 60. For example, we can start by splitting 60 into 3 and 20. Since 3 is already a prime number, we circle it and then we split 20 further into 2 and 10. Again, we get 2 as the prime number, so we circle it and split 10 into 2 and 5. Finally, we can observe the same prime factors, that is, 60 = 2 × 2 × 3 × 5 Factors of 60 in PairsThe factors of 60 can be written in pairs. This means that the product of the pair factors of 60 is always 60. The factors of 60 in pairs can be written as shown in the table given below:
It is possible to have negative pair factors as well because the product of two negative numbers also gives a positive number. Let us have a look at the negative pair factors of 60.
The following points explain some features of the pair factors of 60.
Important Notes
Points to remember Let us recollect the list of the factors, the negative factors, and the prime factors of 60.
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FAQs on Factors of 60The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and its negative factors are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30, -60. What are the Prime Factors of 60?There are three prime factors of 60, and they are 2, 3, and 5. The prime factors of a number are those factors that are prime numbers. In this case, if we do the prime factorization of 60, we get 2 × 2 × 3 × 5 = 22 × 3 × 5, where 2, 3, and 5 are prime numbers and the prime factors of 60. What are the Factors of 60 in Pairs?The positive pair factors of 60 are as follows: (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10). The negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12), and (-6, -10) What are the Composite Factors of 60?There are 12 factors of 60. Out of these, the composite factors of 60 are 4, 6, 10, 12, 15, 20, 30, 60. The remaining factors, 2, 3, and 5 are prime factors while 1 is neither a composite nor a prime number. What are the Common Factors of 60 and 100?The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 respectively. The common factors of 60 and 100 are (1, 2, 4, 5, 10, 20). Hence, the GCF of 60 and 100 is 20. What is the Greatest Common Factor of 60 and 75?The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and the factors of 75 are 1, 3, 5, 15, 25, 75. The common factors of 60 and 75 are 1, 3, 5, and 15. Hence, the Greatest Common Factor (GCF) of 60 and 75 is 15. What is the Sum of all the Factors of 60?The sum of all the factors of 60 can be calculated by adding 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 which is 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60 = 168. |