Write the prime factorization of 8 using exponents.
100
4
What is the Greatest Common Factor between 40 and 28?
100
Impossible! The greatest common multiple is UNKNOWN
Find the greatest common multiple of 3 and 15
100
1,4,9,16,25,36
What are the first 6 square numbers?
200
1, 2, 4, 13, 26, 52
Find all of the factors of 52
200
2^4 x 3
Write the prime factorization of 48 using exponents.
200
12
What is the Greatest Common Factor between 132 & 36?
200
1080
Find the least common multiple of 40 and 54
300
49
I am thinking of a number.
It has an odd number of factors.
It less than 50.
The product of its factors is 343.
300
40
The prime factorization of a number is 2^3 x 5. What is the number?
300
18
What is the Greatest Common Factor between 54 & 180?
300
80
Find the least common multiple of 16 and 20.
300
1
I am thinking of a number...
It is between 1-100
It is odd
It is square
It is not a composite number
400
It is not even. Every multiple of 6 is also a multiple of 2 and 3. Every even number is divisible by 2, so that clue is not necessary.
I am thinking of a number.
It is less than 100.
It is a multiple of 6.
It is even.
It has 8 factors.
Which of these clue is not necessary? Explain.
400
2^4 x 5 x 7
Find the prime factorization of 560.
400
6 pages
Aylin is making a scrapbook using 108 photos and 210 newspaper clippings. She wants all the pages to be set up in the same way, with the same combination of photos and newspaper clippings on every page. She also wants to make sure that no items are left over. What is the greatest number of scrapbook pages that Aylin can create?
400
288 packages
Sarah’s Shipping and Ryan’s Mail Services both ship packages. Sarah’s trucks will only carry loads of 18 packages. In contrast, Ryan’s trucks will only carry loads of 32 packages. If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each must have shipped?
400
25 gift bags
17 pieces of candy
Mrs. Janick is making Navigate gift bags for her students. She has 425 pieces of candy, 325 erasers, and 650 pencils. How many gift bags can Mrs. Janick make if she wants all of the bags to be identical?
How many pieces of candy will be in each bag?
500
1, 2*, 3*, 4, 6, 8, 12, 16, 24, 32, 48, 96
List all the factors to 96. Circle all of the prime factors.
500
The number 1 is not allowed in a factor tree because it is not prime or composite. Therefore, it cannot be part of the prime factorization AND cannot be used to find other prime factors.
What is the only number that is not allowed in a factor tree? Why?
500
140 bathrooms
Nathan is stocking bathrooms at the hotel where he works. He has 560 rolls of toilet paper and 980 bars of soap. If he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock?
500
6 packs of brownies
Hay’s Bakery sells brownies and cookies. The brownies come in packs of 26, and the cookies come by the dozen. If the store sold the same number of each this morning, how many packs of brownies did they sell?
500
420 inches tall
Ted will use 13 more blocks.
Bill, Ted, and Bob were building towers with blocks. Bill's blocks were each 28 inches tall. Ted's blocks were each 15 inches tall. Each of Bob's block was half the length of one of Bill's blocks. What is the shortest tower they can build if they want all of their towers to be the same height?
How many more blocks will Ted use than Bill?