I can write a number as a product of its prime factors using a factor tree.Puedo escribir un número como producto de sus factores primos usando un árbol de factores.
MissionMisión · Sound StudioEstudio de sonido
Mix the track, then check the math.Mezcla la pista y revisa las matemáticas.
Welcome to Sound Studio! Every track on the board is a loop with a composite number of beats, and the mixer only syncs loops built from prime beats. Break each loop into primes, then hit play.
¡Bienvenidos a Sound Studio! Cada pista de la consola es un ciclo con un número compuesto de tiempos, y la mezcladora solo sincroniza ciclos hechos de tiempos primos. Descompón cada ciclo en primos y luego dale play.
Word bankBanco de palabras 5 words5 palabrasprime number, composite number, factor tree, …número primo, número compuesto, árbol de factores, …
- prime numbernúmero primo
- A number greater than 1 with exactly two factors: 1 and itself.Un número mayor que 1 con exactamente dos factores: 1 y él mismo.
- composite numbernúmero compuesto
- A number greater than 1 with more than two factors.Un número mayor que 1 con más de dos factores.
- factor treeárbol de factores
- A diagram that splits a number into smaller factors until every branch ends in a prime.Un diagrama que separa un número en factores más pequeños hasta que cada rama termina en un primo.
- prime factorizationfactorización prima
- A number written as a product of primes only, like 12 = 2 × 2 × 3.Un número escrito solo como producto de primos, como 12 = 2 × 2 × 3.
- exponentexponente
- A small raised number that tells how many times the base is used as a factor: 2³ = 2 × 2 × 2.Un número pequeño y elevado que dice cuántas veces se usa la base como factor: 2³ = 2 × 2 × 2.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Make a factor tree on paper for 20 and one for 30. Write each prime factorization, using an exponent when a prime repeats. Multiply the primes back to check, and name a prime that both numbers share.
- Which number is a factor of 52?
- 5
- 13
- 8
- 104
- Which number is divisible by both 2 and 5?
- 55
- 112
- 110
- 125
- Which expression means the same as 5 × 5 × 5?
- 5³
- 3⁵
- 5 × 3
- 5 + 5 + 5
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- Which of the following is a prime number?
- 9
- 15
- 17
- 21
- What is the prime factorization of 30?
- 2 × 3 × 5
- 2 × 15
- 3 × 10
- 5 × 6
- What is the prime factorization of 18?
- 2 × 3 × 3
- 2 × 9
- 3 × 6
- 6 × 3
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Match each number to its prime factorization.
- Two students found different factor trees for 60. Student A started with 2 × 30. Student B started with 6 × 10. Which statement is true?
- Only Student A gets the correct prime factorization
- Only Student B gets the correct prime factorization
- They will get different prime factorizations
- Both get the same prime factorization: 2 × 2 × 3 × 5
- Spot the Common Mistake
- What is the best next move?
- Split 4 into 2 × 2 and 55 into 5 × 11.
- Stop here and write 220 = 4 × 55.
- Split 4 into 2 × 2 and leave 55 as it is.
- Split 55 into 1 × 55.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- What is the prime factorization of 72?
- 2³ × 3²
- 2² × 3³
- 6 × 12
- 8 × 9
- The gardener wants a grid with 8 rows. How many pods in each row so all 72 are used?
- 6
- 9
- 12
- 64
- Which grid would NOT use exactly all 72 seed pods?
- 3 by 24
- 4 by 18
- 5 by 14
- 6 by 12