2 x 2 x 2 x 3 x 5 x 5 600 = 15 x 40 = 3 x 5 x 5 x 8 = 3 x 5 x 5 x 2 x 4 = 3 x 5 x 5 x 2 x 2 x 2
300,000 = 1 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5
A question of prime factors... The answer is 2 x 2 x 3 x 5 x 7 = 420 2 x 2 x 3 x 5 x 7 gives us a factor of 2... 2 x 2 x 3 x 5 x 7 and of 3... 2 x 2 x 3 x 5 x 7 and of 4... 2 x 2 x 3 x 5 x 7 and of 5... 2 x 2 x 3 x 5 x 7 and of 6... 2 x 2 x 3 x 5 x 7 and of 7.
240 = 2 x 2 x 2 x 2 x 3 x 5 900 = 2 x 2 x 3 x 3 x 5 x 5 Max is four 2's, two 3's and two 5's So LCM is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600
2 x 2 x 2 x 3 x 3 x 5 x 5 x 5
Prime factors are 2, 2, 2, 2, 5, 5, 5, 7 Other factors are combinations, i.e. 2 x 2 = 4 2 x 5 = 10 2 x 7 = 14 5 x 5 = 25 5 x 7 = 35 2 x 2 x 2 = 8 2 x 2 x 5 = 20 2 x 2 x 7 = 28 2 x 5 x 5 = 50 2 x 5 x 7 = 70 5 x 5 x 5 = 125 5 x 5 x 7 = 175 2 x 2 x 2 x 2 = 16 2 x 2 x 2 x 5 = 40 2 x 2 x 2 x 7 = 56 2 x 2 x 5 x 5 = 100 2 x 2 x 5 x 7 = 140 2 x 5 x 5 x 5 = 250 2 x 5 x 5 x 7 = 350 5 x 5 x 5 x 7 = 875 2 x 2 x 2 x 2 x 5 = 80 2 x 2 x 2 x 2 x 7 = 112 2 x 2 x 2 x 5 x 5 = 200 2 x 2 x 2 x 5 x 7 = 280 2 x 2 x 5 x 5 x 5 = 500 2 x 2 x 5 x 5 x 7 = 700 2 x 5 x 5 x 5 x 7 = 1,750 2 x 2 x 2 x 2 x 5 x 5 = 400 2 x 2 x 2 x 2 x 5 x 7 = 560 2 x 2 x 2 x 5 x 5 x 5 = 1,000 2 x 2 x 2 x 5 x 5 x 7 = 1,400 2 x 2 x 5 x 5 x 5 x 7 = 3,500 2 x 2 x 2 x 2 x 5 x 5 x 5 = 2,000 2 x 2 x 2 x 2 x 5 x 5 x 7 = 2,800 2 x 2 x 2 x 5 x 5 x 5 x 7 = 7,000
1,000,000,000 = 109 = (2 x 5)9 = 29 x 59 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 The factors of one billion are 2 and 5
To find the factors of a number, start with its prime factors. In the case of 2000, these are 2 x 2 x 2 x 2 x 5 x 5 x 5. Multiplying different combinations of these gives us the whole list of factors: 1 22 x 2 = 42 x 2 x 2 = 82 x 2 x 2 x 2 = 1655 x 5 = 255 x 5 x 5 = 1252 x 5 =102 x 5 x 5 = 502 x 5 x 5 = 2502 x 2 x 5 = 202 x 2 x 5 x 5 = 1002 x 2 x 5 x 5 x 5 = 5002 x 2 x 2 x 5 = 402 x 2 x 2 x 5 x 5 = 2002 x 2 x 2 x 5 x 5 x 5 = 10002 x 2 x 2 x 2 x 5 = 802 x 2 x 2 x 2 x 5 x 5 = 400[2 x 2 x 2 x 2 x 5 x 5 x 5 = 2000] So you're quite right, 2000 does have 20 factors.
10,000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 OR 2^4 x 5^4
2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5
The prime factors are: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5
2 x 100 4 x 50 5 x 40 8 x 25 10 x 20 2 x 2 x 50 2 x 5 x 20 5 x 5 x 8 2 x 2 x 2 x 25 2 x 2 x 5 x 10 2 x 4 x 5 x 5 2 x 2 x 2 x 5 x 5
2 x 2 x 47
2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 = 1,000,000or 26 x 56 = 1,000,000
The prime factorization is: 400 = 2 × 2 × 2 × 2 × 5 × 5
300,000 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5
The prime factors of 100 are 2 and 5 Prime factorization of 100: 2 x 2 x 5 x 5 or 2^2 x 5^2