Find the prime factorization of 1,260.
A)2 · 2 · 2 · 3 · 5 · 5
B)2 · 2 · 3 · 3 · 5 · 7
C)2 · 2 · 3 · 3 · 35
D)1 · 4 · 5 · 7 · 9

Question

Quizplus · Accepted Answer

To find the prime factorization of 1,260, we can start by dividing by the smallest prime number, which is 2. 
1,260 ÷ 2 = 630 
2 is a factor of 1,260, so we can write: 
1,260 = 2 × 630

Next, we can divide 630 by 2: 
630 ÷ 2 = 315 
2 is a factor of 630, so we can write: 
1,260 = 2 × 2 × 315

We can continue in this way, dividing by the smallest prime factor each time, until we have only prime factors left. We get: 
1,260 = 2 × 2 × 3 × 3 × 5 × 7

So the prime factorization of 1,260 is 2 × 2 × 3 × 3 × 5 × 7, which is answer B.

Find the Prime Factorization of 1,260