Q: What numbers can make 300 and 144 with only 3 factors?

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The prime factors of 144 are 2(4) and 3(2)That is, 144 = 2 x 2 (4 times) x 3 x 3, and those numbers are primes.

There are 10 of them. Only the squares of 1 and 11 cannot be made in such a way.

Since there is only one square of 12 (= 144) there is not much of a pattern.

25 and 144

Only 144 is equal to 144. No other number is equal to 144.

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11 x 11 + 23 = 144

Looking at 144, you can quickly see that it is an even number and all even numbers are divided by 2. Since prime numbers only have two factors (1 and the number itself), 144 has to be a composite number.

Any of its factors

2 and 3

The prime factors of 144 are 2, 2, 2, 2, 3 and 3 The prime factors of 300 are 2, 2, 3, 5 and 5 So the only prime numbers which are common to both numbers are 2, 2 and 3 = 12

The prime factors of 144 are 2, 2, 2, 2, 3 and 3 The prime factors of 225 are 3, 3, 5 and 5 The only prime numbers which are common to both are 3 and 3 ... 9

144 has only one square, and that is 20,736.

The prime factors of 144 are 2(4) and 3(2)That is, 144 = 2 x 2 (4 times) x 3 x 3, and those numbers are primes.

2 x 2 x 2 x 2 x 3 x 3 = 144

As a product of its prime factors: 2*2*2*2*3*3 = 144

12x12

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