A factor tree shows the prime factors of a composite number in a “tree-like” form. Drawing factor trees is a good way of doing prime factorization. You can make different factor trees to find the same prime factorization.

Solution: Since, the prime factors of 864 are 2, 3. Therefore, the product of prime factors = 2 × 3 = 6.

4

3

If we put all of it together we have the factors 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 864. It can also be written in exponential form as 25 x 33.

The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2.

Answer. As there are two 3’s the exponent of 3 is 3 square.

Thus, 4 is the sum of exponents of prime factors in the prime factorization of 196.

So, the prime factors of 98 are written as 2 x 7 x 7 or 2 x 72, where 2, and 7 are the prime numbers.

Factors of 144: 1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3.

36

What is the GCF of 108 and 144? The GCF of 108 and 144 is 36.

gcf, hcf, gcd (108; 144) = 36 = 2^2 × 3^2: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Least Common Multiple – 108

18

A factor tree is a diagram used to determine the prime factors of a natural number greater than one. The number 30 can be written in prime factorization as 2 x 3 x 5. All of the factors are prime numbers.

Lesson Summary When we multiply numbers to get a final answer, the numbers we use are called factors. A factor is a number that we multiply by another number to get a product (answer).

72 has a total of 12 factors: 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, and 72.

Multiplication Table

So, the prime factorization of 18 is 18= 2 × 3 × 3. A factor tree is not unique for a given number. Instead of expressing 18 as 2 × 9, we can express 18 as 3 × 6.

The number 12 is a composite number because 12 can be divided by 1, by itself and at least by 2 and 3. So, it is possible to draw its prime tree. The prime factorization of 12 = 22•3.

The number 26 is a composite number because 26 can be divided by 1, by itself and at least by 2 and 13. So, it is possible to draw its prime tree. The prime factorization of 26 = 2•13.

The number 10 is a composite number because 10 can be divided by 1, by itself and at least by 2 and 5. So, it is possible to draw its prime tree. The prime factorization of 10 = 2•5.

Factors of 7 are 1 and 7. The number 7 has only two factors, and hence it is a prime number.

10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10. Prime factorization: 10 = 2 x 5. When 10 is a clue in the FIND THE FACTORS puzzles, either 1 x 10 or else 2 x 5 will work for that particular puzzle.

So the prime factorization of 56 is 2 × 2 × 2 × 7. Thus, The factors of 56 by prime factorization are 1, 2, 4, 7, 8, 14, 28, and 56.

Therefore, the factor pairs of number 56 are 1 & 56, 7 & 8, 2 & 28, and 4 & 14.

Factors of 55

• Factors of 55: 1, 5, 11 and 55.
• Prime Factorization of 55: 55 = 11 × 5.

Factors of 54

• Factors of 54: 1, 2, 3, 6, 9, 18, 27 and 54.
• Negative Factors of 54: -1, -2, -3, -6, -9, -18, -27 and -54.
• Prime Factors of 54: 2, 3.
• Prime Factorization of 54: 2 × 3 × 3 × 3 = 2 × 33
• Sum of Factors of 54: 120.

Factors of 57

• Factors of 57: 1, 3, 19, and 57.
• Prime Factorization of 57: 57 = 3 × 19.

The prime factorization of 52 involves the products of prime numbers which give the result as 52. From the prime factorization of 52, it is clear that 2 and 13 are factors of 52. In fact, 2 and 13 are the prime factors of 52.

Factors of 52 = 1, 2, 4, 13, 26, 52. The greatest factor of 52 that is a prime number is 13.

• The greatest prime factor is 13. But other factors(prime and nonprime) are 2,4,13,26,52.
• :D.

Factors of 50

• Factors of 50: 1, 2, 5, 10, 25, 50.
• Prime Factorization of 50: 2 × 5 × 5.

Factors of 51

• Factors of 51: 1, 3, 17, and 51.
• Prime Factorization of 51: 51 = 3 × 17.

Factors of 50: 1, 2, 5, 10, 25, 50. Factors of 51: 1, 3, 17, 51.

Factors of 2193 are 1, 3, 17, 43, 51, 129, 731. There are 7 integers that are factors of 2193….Factors of 2193 Table.

We have calculated all the numbers that 52 is evenly divisible by. The numbers that 52 is divisible by are 1, 2, 4, 13, 26, and 52. You may also be interested to know that all the numbers that 52 is divisible by are also known as the factors of 52.