Question

find the prime factor of the following numbers in your notebook,with the help of the multiplication method 36is =2×2×3×3
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Answer 1

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Determine the prime factorization of the following number:

13915

Answer

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Hint: To find the prime factors, start by dividing the number by the prime numbers and observe the remainders, if they are equal to 0 or not.

Start by dividing the number by the first prime number, which is 2. If there is no remainder., it means you can divide evenly, then 2

is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2′s

you were able to divide the number by evenly. Now try dividing by the next prime factor, which is 3

. Ultimately the goal is to get to a quotient of 1

.

13,915 ÷ 2 = 6,957.5

- This has a remainder. Let's try another prime number.

13,915 ÷ 3 = 4,638.3333

- This has a remainder. Let's try another prime number.

13,915 ÷ 5 = 2,783

- There is no remainder. Hence, 5

is one of the factors.

2,783 ÷ 5 = 556.6

- There is a remainder. We can't divide by 5

evenly anymore. Let's try the next prime number.

2,783 ÷ 7 = 397.5714

- This has a remainder. 7

is not a factor.

2,783 ÷ 11 = 253

- There is no remainder. Hence, 11

is one of the factors.

253 ÷ 11 = 23

- There is no remainder. Hence, 11

is one of the factors.

23 ÷ 11 = 2.0909

- There is a remainder. We can't divide by 11

evenly anymore. Let's try the next prime number

23 ÷ 13 = 1.7692

- This has a remainder. 13

is not a factor.

23 ÷ 17 = 1.3529

- This has a remainder. 17

is not a factor.

Answer 2

Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.

• 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
• Prime Factors of 36: 2, 6
• Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32

Let us explore more about factors of 36 and ways to find them