The factors of 36 and the prime factors of 36 have been mentioned here along with a detailed explanation. This topic will help students to learn how to factor 36 easily and understand the concept of factors of a number easily with this example.
Factors of 36
From the above steps, the factors of 36 are obtained. It should be noted that 1 and 36 itself is also factors. Also, the negative multiples of each are also considered as factors.
All Factors of 36 | |
---|---|
Positive Factors of 36 |
1, 2, 3, 4, 6, 9, 12, 18, and 36 |
Negative Factors of 36 |
– 1, – 2, – 3, – 4, – 6, – 9, – 12, – 18, and – 36 |
Factor Pairs of 36
The factor pairs of 36 include the following:
- 1 Ã— 36 = 36
- 2 Ã— 18 = 36
- 3 Ã— 12 = 36
- 4 Ã— 9 = 36
- 6 Ã— 6 = 36
How to Factor 36?
To calculate the factors of 36, follow the given steps:
- Step 1: Write 36
- Step 2: 36 is the square of 6 and so write 36 as 6 Ã— 6
- Step 3: Factor 6 as 2 and 3
- Step 4: Write 36 = 2 Ã— 3 Ã— 2 Ã— 3
- Step 5: Now multiply all the multiples to get all the factors of 36
Prime Factors of 36
The prime factors of 36 are the prime numbers from the list of factors for the number 36. The prime factors of 36 can also be obtained by another method which is explained below. Here are all the prime factors of 36:
- Prime Factors of 36 = 2^{2 }Ã— 3^{2}
How To Calculate Prime Factor of 36?
To calculate the prime factors of 36, divide it with the least prime number which is 2. When it cannot be divided further with two, divide it with the next prime number which is 3 in this case till the end product is 1. This is called prime factorization of a number and a step by step format for 36 is given below.
- Step 1: Divide 36 with 2
2 ÷ 36 = 18
- Step 2: Again divide 18 with 2
2 ÷ 18 = 9
- Step 3: Since 9 is no more divisible by 2, move to the next prime number i.e. 3
3 ÷ 9 = 3
- Step 4: Finally, divide 3 with 3 to get 1.
3 ÷ 3 = 1
From the above steps, it can be said that the prime factor of 36 will be 2 Ã— 2 Ã— 3 Ã— 3 i.e. 2^{2} Ã— 3^{2}. It should be noted that the above-mentioned method will not only work for 36 but even for all the large number also.
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