Numbers and operations (factors, multiples, properties) — ISEE Upper practice questions

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117 practice questions in the app
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Practice 117 Numbers and operations (factors, multiples, properties) questions in the app

What this topic is

On the ISEE Upper Mathematics Achievement section, Numbers and operations (factors, multiples, properties) covers primes, composites, factorizations, multiples, and properties of whole numbers and decimals.

A student must rewrite a value as an equivalent expression, count positive factors from prime-factor form, and estimate a product by rounding each factor to the nearest whole number. Questions are multiple choice with numeric or expression options that look alike.

Common traps include mixing factors with multiples, omitting a factor, adding exponents instead of using one more than each exponent, and rounding the wrong way before multiplying.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

Which expression is equivalent to 48?

(8 \times 3) + 4 \times (7 - 1)

✓ Correct

8 \times (3 + 4) \times (7 - 1)

✗ Not this one

8 \times 3 \times 4 \times (7 - 1)

✗ Not this one

(8 \times 3 + 4) \times (7 - 1)

✗ Not this one

Show answer

Answer: A — $(8 \times 3) + 4 \times (7 - 1)$

(8\times3)+4\times6=24+24=48

Question 2Easier

A positive integer $N$ has prime factorization $2^{4}\times 3^{2}\times 5$ . How many positive factors does $N$ have?

16✗ Not this one24✗ Not this one30✓ Correct48✗ Not this one

Show answer

Answer: C — 30

If $N=p^a q^b r^c$ , the number of positive factors is $(a+1)(b+1)(c+1)$ . Here $(4+1)(2+1)(1+1)=5\cdot 3\cdot 2=30$ . Using the exponents alone or omitting a factor produces the distractors.

Question 3Easier

What is the estimated product of $6.2\times4.7$ ? (Round each factor to the nearest whole number.)

24✗ Not this one29.14✗ Not this one30✓ Correct35✗ Not this one

Show answer

Answer: C — 30

Rounding gives $6.2\approx6$ and $4.7\approx5$ , so the estimated product is $6\times5=30$ .

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 117 Numbers and operations (factors, multiples, properties) questions in the app

Numbers and operations (factors, multiples, properties) — ISEE Upper practice questions

What this topic is

Sample questions

More ISEE Upper topics

Mathematics Achievement