Question

find the prime factorization of the following . a. 1260 b. 3125​

Answer 1

Answer:

a) Prime factorization:

1260 = 2 × 2 × 3 × 3 × 5 × 7,

which can be written 1260 = 2² × 3² × 5 × 7. The exponents in the prime factorization are 2, 2, 1, and 1.

Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) (1 + 1) = 3 × 3 × 2 × 2 = 36.

Therefore 1260 has exactly 36 factors.

b) Positive Integer factors of

3125 = 5, 25, 125, 625, 3125 divided by 5, 5, 5, 5, 5, gives no remainder.

They are integers and prime numbers of 3125, they are also called composite number.

Prime number are numbers that can divide without remainder, This means that 3125 is divisible by 5, 5, 5, 5, 5, numbers.

Answer 2

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