How to factor a number

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to factor a number

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1

Which is the greater quantity?

(a) The number of factors of 169

(b) The number of factors of 121

2

Which is the greater quantity?

(A)

(B) The sum of the factors of 28 except for 28 itself.

3

If we consider the factors of as a set of numbers, which one is greater?

Product of the the median and the mean of the set

The range of the set

4

If we consider the factors of as a set of numbers, compare the mean and the median of the set.

5

Which is the greater quantity?

(a) The number of factors of 15

(b) The number of factors of 17

6

If we consider the factors of as a set of numbers, which one is greater?

The mean of the set

Ratio of the range and the median of the set

7

How many integers from 121 to 150 inclusive do not have 2, 3, or 5 as a factor?

8

and are distinct odd primes. Which is the greater quantity?

(a) The number of factors of

(b) The number of factors of

9

An integer is deficient if the sum of all of its factors, except for itself, is less than . Of the following four integers, how many are deficient?

(A)

(B)

(C)

(D)

10

Which of the following is the greater quantity?

(A) The number of integers between 131 and 160 inclusive that do not have 2, 3, 5, or 7 as a factor

(B) The number of integers between 231 and 260 inclusive that do not have 2, 3, 5, or 7 as a factor

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