Quick Answer: How Many Ways Can You Make 144?

What is the sum of all the factors of 144?

Why is 403 the sum of all factors of 144, including 144.

The factors of the number 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

If you add them up, you will get the total of 403..

What is the formula of nPr?

Definition: nPr(n,r) = n! / (n-r)! The number of different, unordered combinations of r objects from a set of n objects. Definition: nCr(n,r) = nPr(n,r) / r! Returns a random value between 0 and 1.

What are factors of 72?

The factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

How do you calculate the number of possible combinations?

Remember that combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n – r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

IS 144 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 144 is 12. Therefore, the square root of 144 is an integer, and as a consequence 144 is a perfect square.

How many combinations of 6 items are there?

720 possible combinationsWith 1 item there are 6 possibilities with 2 you only have 5 choices after the first if you don’t repeat the same item. So for 6 items the equation is as follows 6*5*4*3*2= 720 possible combinations of 6 items.

IS 144 a perfect number?

144 is a perfect square, sure, but the sum of its digits is also a perfect square (9), the product of its digits is also a perfect square (16), and its reverse is also a perfect square (441). … 144 can be written as the sum of two twin primes, namely 71 and 73.

How many 4 letter combinations are there?

256This is a case of number of arrangements possible with repetition. Thus you have 4 options each for the 1st,2nd,3rd and 4th letter giving you a total of 4*4*4*4 = 256 number of possible combinations.

How many combinations can be made with 12 numbers?

Combinations. So 479001600 combinations are possible if repetition is not allowed. If repetition of digits is allowed then, 12^12 combinations are possible. So 8916100400000 combinations are possible if repetition is allowed.

Is 25000 a perfect square?

A: No, the number 25,000 is not a perfect square.

How many 7 number combinations are there?

Assuming repetition is allowed, you can have 7-digit numbers from 1,000,000 to 9,999,999 which is a total of 9,000,000 7-digit numbers. These are all the possible 7-digit numbers. In general, there are 9 × 10^(n-1) possible n-digit numbers.

Why is 144 a special number?

In mathematics 144 is the smallest number with exactly 15 divisors, but it is not highly composite since the smaller number 120 has 16 divisors. 144 is divisible by the value of its φ function, which returns 48 in this case. … The maximum determinant in a 9 by 9 matrix of zeroes and ones is 144.

What are the real square roots of 144?

The value of the square root of 144 is equal to 12. In radical form, it is denoted as √144 = 12.

How many positive divisors does 144 have?

15 positive divisorsThe number 144 can be divided by 15 positive divisors (out of which 12 are even, and 3 are odd).

How many 4 digit numbers can you make with 4 digits?

256Finally there are 4 choices for the last digit so the number of possible 4 digit numbers is 4 4 4 = 256.

How many combinations of 5 are there?

Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.

What numbers can be multiplied to get 144?

144 is a composite number and a perfect square. Factor pairs: 144 = 1 x 144, 2 x 72, 3 x 48, 4 x 36, 6 x 24, 8 x 18, 9 x 16, 12 x 12. Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

How many ways can you make a 4 digit number?

10 000For each choice of the first two digits you have 10 choices for the third digit. Thus you have 10x10x10 = 1000 choices for the first three digits. Finally you have 10 choices for the fourth digit and thus there are 10x10x10x10 = 10 000 possible 4 digit combinations from 0-9.