Composite numbers A composite number is a natural number divisible by more than just 1 and itself. Another definition: A composite number is a positive integer that has more than two different factors. The numbers 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, … are composite numbers because they are “composed” of other numbers.

Factors of 48

• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
• Negative Factors of 48: -1, -2, -3, -4, -6, -8, -12, -16, -24 and -48.
• Prime Factors of 48: 2, 3.
• Prime Factorization of 48: 2 × 2 × 2 × 2 × 3 = 24 × 3.
• Sum of Factors of 48: 124.

If the factors of 48 are only 48 and 1, then we know that 48 is a prime number. Otherwise, 48 is a composite number. To explain better, if 48 is only divisible by 1 and 48, then it is a prime number, and if 48 is divisible by more than 48 and 1, then it is a composite number.

Prime Factors Calculator The number 72 is a composite number because 72 can be divided by one, by itself and at least by 2 and 3. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).

The prime factors of 12 are 2 and 3.

There are overall 6 factors of 12 among which 12 is the biggest factor and its positive factors are 1, 2, 3, 4, 6 and 12.

The prime factorization of 12 is 2×2×3 or 22 × 3.

Prime Factors for 12: 2, 2, and 3. Prime Factors for 18: 2, 3, and 3.

The common factors of 24 and 48 are 24, 12, 8, 6, 4, 3, 2, 1, intersecting the two sets above.

Find The Greatest Common Factor : Example Question #2 To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

What is the GCF of 7 and 63? The GCF of 7 and 63 is 7.

Factors of 63

• Factors of 63: 1, 3, 7, 9, 21 and 63.
• Negative Factors of 63: -1, -3, -7, -9, -21 and -63.
• Prime Factors of 63: 3, 7.
• Prime Factorization of 63: 3 × 3 × 7 = 32 × 7.
• Sum of Factors of 63: 104.

90

9

4

All the factors of 45 are 1, 3, 5, 9, 15, and 45. Prime factorization of 45 is 45 = 32 × 5.

8

So the greatest common factor 24 and 32 is 8.

1

Answer: HCF of 32 and 60 is 4.

The highest common factor (HCF) of two numbers (or expressions) is the largest number (or expression) which is a factor of both. Consider the highest common factor of 24 and 40. The common factors of 24 and 40 are 2, 4, and 8. So, the highest common factor is 8.

64 = 1 × 2 × 2 × 2 × 2 × 2 × 2. 80 = 1 × 2 × 2 × 2 × 2 × 5. Common factor of 64 and 80 = 1, 2, 2, 2, 2. Highest common factor of 64 and 80 = 2 × 2 × 2 × 2 = 16.

Factors of 35 (Thirty five) = 1, 5, 7 and 35. Therefore, common factor of 21 (Twenty one) and 35 (Thirty five) = 1 and 7. Highest common factor (H.C.F) of 21 (Twenty one) and 35 (Thirty five) = 7.

The common factors of 42 and 45 are 3, 1, intersecting the two sets above. In the intersection factors of 42 ∩ factors of 45 the greatest element is 3. Therefore, the greatest common factor of 42 and 45 is 3.

6

Answer: HCF of 36 and 42 is 6 The highest common factor (HCF) of two numbers a and b is the highest possible number that divides the numbers a and b exactly, leaving the remainder 0.

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