# Which 3 digit number has the greatest number of different factors?

## Which 3 digit number has the greatest number of different factors?

Let N be the three-digit number which has the greatest number of different factors. Since 2×3×5×7×11>1000, N at most has four different prime factors. If N only has one prime factor, then N=29, and so N has 10 different factors.

## Which number has the most number of factors?

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 is the greatest 3 digit number?

999
100 is the smallest 3-digit number and 999 is the greatest 3-digit number.

What is the greatest number of prime factors a 3 digit number can have?

greatest 3 digit number is 999. Step-by-step explanation: The factors of 999 are 3,3,3,37.

### How many numbers from 1 to 100 are there?

There are 98 whole numbers between 1 and 100.

### How many 2 digit numbers are there?

The total number of two digit numbers is 90. From 1 to 99 there are 99 numbers, out of which there are 9 one-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. If one digit numbers are subtracted from 99 we get 90 two-digit numbers.

What is the biggest prime number known to date?

The largest known prime number (as of September 2021) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

What 4 digit number has the most factors?

9999
Write the Greatest 4 Digit Number And Express It in Terms Of Its Prime Factors. The largest 4-digit number is 9999.

#### What is a greatest number?

The greatest number is formed by placing the given digits in descending order. This is because the digit’s position at the extreme left of a number increases its place value. So the greatest digit should be placed at the extreme left side of the number to enhance its value.

#### What is the smallest 3 digit number with unique digits?

102
Thus, 102 is the smallest 3-digit number with unique digits.

What is the only three digit number which is a prime?

228 is also divisible is 2 × 2 × 2 × 2 × 3 × 19. 1. Factor these numbers till the factors are prime numbers. Use a notebook for the long division….Prime Factorization of Three-Digit Numbers.

a. 196 b. 380 c. 336
d. 306 e. 116 f. 720
g. 675 h. 990 i. 945

What is the least common multiple of 16 28 and 40?

560
Answer: LCM of 16, 28, and 40 is 560.

## How many three digit numbers have exactly three factors?

Squares of these numbers are three digit numbe If N = a^p * b^q * c^r *…. , where a, b, and c are prime factors and p, q, and r are integers, then the number of factors of N = (p+1) (q+1) (r+1)……. In this problem, we have to find the three digit numbers, which have exactly three factors. 3 can be written only as (2+1), which implies ‘p’ is 2.

## Which is the number with the most factors?

As defined by Merriam-Webster, a factor is a number that divides evenly into another number. Below are the factors for the numbers that have 12 factors: 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

How many factors does a prime number have?

Usually any number has 2 factors ie., 1 and itself and we know that the factors exist in pairs. So for a number, to have 3 factors it should be perfect square of a prime number. We have got 7 such 3 digit numbers.

How to do prime factorization of three digit numbers?

This lesson shows examples on how to get started with the prime factorization of three-digit or larger numbers, using a factor tree. You simply use your knowledge of divisibility tests to get started with the factoring process, and go on from there. The lesson contains many exercises, and you can make even more factoring exercises here.