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QUESTION: 1

How many unique divisors does 222 have?

Solution:

There are total 8 divisor of 222 i.e. 1, 2, 3, 6, 37, 74, 111, 222

QUESTION: 2

How many multiples of 3 exist between –10 and 10?

Solution:

Multiples of 3 exist between -10 and 10 are -9, -6, -3, 3, 6, 9

QUESTION: 3

How many multiples of 2 exist between -10 and 10?

Solution:

Multiples of 2 between -10 and 10 are -8, -6, -4, -2, 2, 4, 6, 8

QUESTION: 4

Is integer *y* divisible by 24?

1) *y* is divisible by 6 ?

2) *y* is divisible by 4 ?

Solution:

QUESTION: 5

Is integer y divisible by 16?

1) y is divisible by 8

2) 2y is divisible by 16

Solution:

QUESTION: 6

Is integer y divisible by 16?

1) y^{2} is divisible by 16

2) y^{3} is divisible by 16

Solution:

QUESTION: 7

Integer x represents the product of all integers between 1 and 25, inclusive. The smallest prime factor of (x + 1) must be _____.

Solution:

.

QUESTION: 8

If h(x) = product of all the multiples of 3 from 3 to x, inclusive, then the smallest prime factor of h(150) + 1 must be………

Solution:

QUESTION: 9

Is x divisible by y?

1) (x – 1) is divisible by y

2) x > y

Solution:

QUESTION: 10

Is x divisible by y?

1) x is a multiple of (y + 1)

2) y > 1

Solution:

QUESTION: 11

If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

Solution:

QUESTION: 12

What is the greatest common factor of positive integers x and y?

1) x and y share only one common factor. ?

2) x and y are unique prime numbers. ?

Solution:

QUESTION: 13

If 6x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?

Solution:

QUESTION: 14

If 6x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?

Solution:

QUESTION: 15

Which of the following CANNOT be the greatest common divisor of two positive integers *a* and *b*?

Solution:

### Factors and Multiples

Video | 06:51 min

### Factors and Multiples

Video | 06:51 min

### Worksheet: Factors and Multiples

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### Examples: Factors and Multiples

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