Table of Contents
Which number has the greatest number of factors?
This is the only way to increase the exponents without going over 5000, so the highest number of factors you can reach with a number that has five prime factors is 48, reached by the number 4620.
What is the least factor of a number?
- 1 is the smallest factor of every number.
- 1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself. A number is a factor of itself. SO, a number itself is its own greatest factor. For example 73 ÷ 1 = 73 so, 73 and 1 are the factors. 73 is the greatest factors.
What is the smallest factor of a number?
number 1
The number 1 is the smallest factor of every number. Every number will have a minimum of two factors, 1 and the number itself. A number that has only two factors, 1 and the number itself, is called a prime number.
What number smaller than 100 has the most factors?
The numbers under 100 with most factors are 60=22⋅3⋅5, 84=22⋅3⋅7, 96=25⋅3 and 72=23⋅32, which all have 12 factors.
What number less than 1000 has the most factors?
Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
What number has the most factor pairs?
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.
Which is the number with the most factors?
The following numbers under 100 have the most factors: 60, 72, 84, 90 and 96. They each have a total of 12 factors, including the number one and the number itself. As defined by Merriam-Webster, a factor is a number that divides evenly into another number.
Can a number be greater than a factor?
1. The statement, “The factor of a number can be greater than the number,” is FALSE. We know that factors are the divisors of the number that leave 0 as the remainder. Hence, they are always less than the number.
Is the number of factors of a number finite?
Given below are the properties of factors: The number of factors of a number is finite. A factor of a number is always less than or equal to the given number. Every number except 0 and 1 has at least two factors, 1 and itself.
Which is the factor pair for the number n?
Find the square root of the integer number n and round down to the closest whole number. Let’s call this number s. Start with the number 1 and find the corresponding factor pair: n ÷ 1 = n. So 1 and n are a factor pair because division results in a whole number with zero remainder.