# What number is divisible by most numbers?

## What number is divisible by most numbers?

2520 is:

• the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.
• half of 7!
• the product of five consecutive numbers, namely 3×4×5×6×7.
• a superior highly composite number.
• a colossally abundant number.

## What number has the most factors for its size?

You might check out OEIS on highly composite numbers. 840 has 32 factors, while 960 has only 28, but maybe the 7 isn’t so useful. The next record holder is 1260 with 36 factors.

What number are all whole numbers divisible by?

A number does not change when it is divided by 1. Therefore, every whole number is divisible by 1.

### How do you find the divisibility of a big number?

A divisibility test is a rule for determining whether one whole number is divisible by another. It is a quick way to find factors of large numbers. Divisibility Test for 3: if the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

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### What is divisibility in math?

Divisibility means that a number goes evenly (with no remainder) into a number. For example, 2 goes evenly into 34 so 34 is divisible by 2. But 3 would leave us with a remainder, so 34 is not divisible by 3.

Is every natural number divisible by 1?

Every natural number is divisible by 1. There are no even prime numbers. Every natural number is both a factor and a multiple of itself.

#### What is the most superior number?

Superior highly composite number

# prime factors SHCN n # divisors d(n)
7 2520 48
8 5040 60
9 55440 120
10 720720 240

#### Which number has the highest factor?

Factors of a number are any numbers which divide into a given number evenly. Common factors are 1, 2, 3, 4, 6, & 12. The largest of these (12) is the greatest common factor (GCF). Listing factors is one way to find the GCF.

Which number is divisible by?

Divisibility rules for numbers 1–30

Divisor Divisibility condition
1 No specific condition. Any integer is divisible by 1.
2 The last digit is even (0, 2, 4, 6, or 8).
3 Sum the digits. The result must be divisible by 3.

## What is the divisible of 9?

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9: 99, 198, 171, 9990, 3411. Sum of the digits of 99 = 9 + 9 = 18, which is divisible by 9.

## What is the divisibility of 990?

The first number given to us is 990. As we can see, it is divisible by 2 as the last digit is even. 9 + 9 + 0 = 18. It is divisible by 3 as well as 9.

What is the divisibility of 8?

Divisibility rules for numbers 1–30

Divisor Divisibility condition Examples
8 If the hundreds digit is even, the number formed by the last two digits must be divisible by 8. 624: 24.
If the hundreds digit is odd, the number obtained by the last two digits plus 4 must be divisible by 8. 352: 52 + 4 = 56.

### What is the divisibility test for a number?

In other words, a number passes this divisibility test only if it passes the test for 2 and the for 3 . Rule: A number is divisible by 6 if it is even and if the sum of its digits is divisible by 3. Examples of numbers that are divisible by 6. Number.

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### What are the numbers that are divisible by 6?

Rule: A number is divisible by 6 if it is even and if the sum of its digits is divisible by 3. Examples of numbers that are divisible by 6. 1) 114 is even .

What is an example of an even number that is divisible?

Examples of numbers that are even and therefore pass this divisibility test. Since the last digit is a 2, the entire number, 12, is an even number and therefore divisible by 2. Since the last digit is an 8, this is an an even number and therefore divisible by 2.

#### What is the divisibility by 2 rule in math?

What is the divisibility by 2 Rule? Answer: Almost everyone is familiar with this rule, which states that any even number can be divided by 2. Even numbers are multiples of 2. A number is even if it ends in 0, 2, 4, 6, or 8. Examples of numbers that are even and therefore pass this divisibility test.