The number 60 is a very special number in mathematics. It is known as a 'highly composite number' because it has a huge number of factors for its size. This is exactly why ancient civilizations chose 60 to divide time (60 seconds, 60 minutes) and circles (360 degrees).
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Total number of factors: 12.
Prime factors: 2, 3, 5.
Type: Highly Composite Number.
Let's find all the number pairs that multiply to give 60:
Listing them all out, the factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Let's break 60 down into prime numbers using a factor tree:
Prime Factorization of 60 = 2 × 2 × 3 × 5 (or 2² × 3 × 5).
Because 60 has 12 factors, it can be easily divided into halves (30), thirds (20), quarters (15), fifths (12), and sixths (10) without creating decimals. This makes it perfect for fractions and timekeeping!
The number 60 has exactly 12 positive factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The prime factorization of 60 is 2 × 2 × 3 × 5 (or 2² × 3 × 5).
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