What is the Factorial of Hundred (100)? [Best answer]

What is the Factorial of Hundred (100)?– The aproximate value of 100! is 9.3326215443944E+157. The number of trailing zeros in 100! is 24. The number of digits in 100 factorial is 158.

Number Factorial
10 3 628 800
11 39 916 800
12 479 001 600
13 6 227 020 800
14 87 178 291 200
15 1 307 674 368 000
16 20 922 789 888 000
19 6 402 373 705 728 000
20 2 432 902 008 176 640 000
25 1.551 121 004 x 10^25
50 3.041 409 320 x 10^64
70 1.197 857 167 x 10^100
100 9.332 621 544 x 10^157

What is the factorial of hundred (100)?

9.332622e+157

What is the factorial of 100 in voice with answer?

How to calculate What is the factorial of Hundred(100)?

What is the Factorial of Hundred
  • The approximate value of 100! is 9.3326215443944E+157.
  • The number of trailing zeros in 100! is 24.
  • The number of digits in 100 factorial is 158.

We know that if n be a number, then its factorial is given by

n! = n × (n – 1) × (n – 2) × (n – 3) × … … × 1

Here our given number is 100. Thus taking n = 100, we get

100! = 100 × (100 – 1) × (100 – 2) × (100 – 3) × … … × 1

= 100 × 99 × 98 × 97 × … … × 1

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

Let us find the factorial of a smaller number. Say, n = 3. Then 3! = 3 × 2 × 1 = 6.

What is factorial?

factorial, in mathematics, the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point. Thus, factorial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7.

What is the factorial of zero (0)?

What is the Factorial of Hundred

Factorial zero is defined as equal to 1

Factors of 100 by Division Method

The factors of 100 can be found using the division method. In the division method, the number 100 is divided by different consecutive integers. If the integer divides 100 exactly, then those integers are the factors of 100. First, start dividing 100 by 1 and continue with the consecutive integers.

  • 100/1 = 100 (Factor is 1 and Remainder is 0)
  • 100/2 = 50 ( Factor is 2 and Remainder is 0)
  • 100/4 = 25 ( Factor is 4 and Remainder is 0)
  • 100/5 = 20 (Factor is 5 and Remainder is 0)
  • 100/10 = 10 (Factor is 10 and Remainder is 0)
  • 100/20 = 5 (Factor is 20 and Remainder is 0)
  • 100/25 = 4 (Factor is 25  and Remainder is 0)
  • 100/50 = 2 (Factor is 50 and Remainder is 0)
  • 100/100 = 1 (Factor is 100 and Remainder is 0)

Thus, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. If we divide 100 by different numbers other than 1, 2, 4, 5, 10, 20, 25, 50 and 100, it leaves a remainder and hence, they are not the factors of 100.

Factorial of 100- How to Calculate Factorial?

What is the Factorial of Hundred

The factorial function of a positive integer n where n is defined by the product:

What is the Factorial of Hundred (100)?_40.1

In product notation, this might be stated more as

What is the Factorial of Hundred (100)?_50.1

If all but the last term is kept in this product formula, it will define a product of the same form for a smaller factorial. This results in a recurrence relation, according to which each factorial function value may be generated by multiplying the preceding value by n.

What is the Factorial of Hundred (100)?_60.1

What is the factorial of 100?- FAQs

Q1. How many digits are there in factorial of 1000?

Ans: 000 factorial has 2,568 digits. The number of zeros at the end is 249.

Q2. what is factorial?

Ans: factorial, in mathematics, the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point. Thus, factorial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7

Q3. How many zeros in 100 factorial?

Ans: Since 100 ÷ 25 = 4 there are four multiples of 25 between 1 and 100. => Adding these I get 20 + 4 = 24 trailing zeroes in 100

Q4. How many zeros are in a 200 factorial?

Ans: 200! ∴ No. of zeroes in the end is 49.

Q5. What is the highest factorial number?

Ans: “Did you know? The number 170 is the highest possible number you can calculate a factorial for? Any higher than 170, and the mathematical answer is infinity.

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