To find the prime factorization of 490, we start by dividing the number by the smallest prime number, which is 2. Since 490 is even, we can divide it:
- 490 ÷ 2 = 245
Next, we need to factor 245. The smallest prime number that can divide 245 is 5:
- 245 ÷ 5 = 49
Now we need to factor 49. The smallest prime number that divides 49 is 7:
- 49 ÷ 7 = 7
- 7 ÷ 7 = 1
So, we can now write the prime factorization of 490 as:
- 490 = 2 × 5 × 7 × 7
- Alternatively, we can express it as: 490 = 2 × 5 × 72
In summary, the prime factorization of 490 is 2 × 5 × 72.