4. The prime factors of a number are: 2, 3, 5 and 11.
(a) What is the number?
(b) List 5 more factors of the number.
(a) The number can be found by multiplying all of its prime factors: 2 * 3 * 5 * 11 = 330.
(b) Some additional factors of 330 are: 1, 6, 10, 15, and 165.
(a) To find the number, we need to multiply all the prime factors together.
The number = 2 * 3 * 5 * 11 = 330.
(b) To find 5 more factors of the number, we can start by finding all the combinations of the prime factors:
1. 2 * 3 * 5 * 11 = 330 (the number itself)
2. 1 * 3 * 5 * 11 = 165
3. 2 * 1 * 5 * 11 = 110
4. 2 * 3 * 1 * 11 = 66
5. 2 * 3 * 5 * 1 = 30
So, 5 more factors of the number 330 are: 165, 110, 66, 30, and 1.
To find the number given its prime factors, we can multiply all the prime factors together.
(a) The number can be found by multiplying the prime factors 2, 3, 5, and 11.
Number = 2 x 3 x 5 x 11 = 330
So, the number is 330.
(b) To find more factors of the number, we need to find the other numbers that can be multiplied together to give the number 330.
One way to find factors is by dividing the number by different numbers and checking if the division is exact (without remainder).
Let's start by dividing 330 by 2:
330 ÷ 2 = 165
165 is not a factor because the division is not exact.
Next, let's try dividing by 3:
330 ÷ 3 = 110
110 is a factor because the division is exact.
We can continue this process to find more factors of 330.
Dividing 330 by 4, 5, 6, 7, and 8, we get:
330 ÷ 4 = 82.5 (not a factor)
330 ÷ 5 = 66 (a factor)
330 ÷ 6 = 55 (a factor)
330 ÷ 7 = 47.142857142857146 (not a factor)
330 ÷ 8 = 41.25 (not a factor)
So, 330 has 5 more factors: 1, 10, 66, 55, and 330.