Answer:
2*2*5*5 = 100
Step-by-step explanation:
We can take 100 and start dividing it by numbers that won't leave a remainder:
E.g.,
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)
Factors that leave remainders won't work.
100/3 = 33 ( Factor is 3 and Remainder is 1)
100/6 = 16 ( Factor is 6 and Remainder is 4)
Step 1: The first step is to divide the number 100 with the smallest prime factor, say 2.
100 ÷ 2 = 50
Step 2: Again divide 50 by 2.
50 ÷ 2 = 25
Step 3: You will get a fractional number if you divide 25 by 2 and 3. So continue with the next prime factor, say 5
25 ÷ 5 = 5
5 ÷ 5 = 1
Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 2^2 x 5^2, where 2 and 5 are the prime numbers.
