What is 60 divisible by?

Understanding Divisibility

In mathematics, when we ask what a number is divisible by, we are looking for its factors (or divisors). A factor is a whole number that divides into another number perfectly, leaving no remainder. For the number 60, this means finding every integer that can multiply with another integer to result in exactly 60.

The Factors of 60

To find the factors of 60, we look for pairs of numbers that multiply to reach 60. We can list them systematically:

• 1 × 60 = 60

• 2 × 30 = 60

• 3 × 20 = 60

• 4 × 15 = 60

• 5 × 12 = 60

• 6 × 10 = 60

Therefore, the complete list of numbers that 60 is divisible by is: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Quick Reference Table

To help you visualize how these factors relate to one another, here is a comparison of the factor pairs:

Factor A	Factor B	Product
1	60	60
2	30	60
3	20	60
4	15	60
5	12	60
6	10	60

Real-World Examples

Why does this matter? Understanding divisibility is incredibly useful in daily life. For example, if you have 60 minutes in an hour, knowing the factors helps you divide that time into equal segments. You can have 6 segments of 10 minutes, 4 segments of 15 minutes, or 3 segments of 20 minutes. Similarly, if you are organizing 60 items into rows, you know exactly how many rows you can create without having any items left over.

Common Pitfalls

One common mistake is forgetting that 1 and the number itself (60) are always factors. Another pitfall is assuming that because a number is even, it must be divisible by 4 or 8. While 60 is divisible by 4, it is not divisible by 8, because 60 divided by 8 equals 7.5, which is not a whole number. Always remember: if there is a remainder, it is not a factor!