Find Factors and Multiples

Grade 6 Math · Unit 6 Interactive Practice Studio (6.NOS.4) · Lesson 6-7
Progress: 0 / 20

I can find the greatest common factor and the least common multiple of two numbers, and use each to solve a real problem.Puedo hallar el máximo común divisor y el mínimo común múltiplo de dos números, y usar cada uno para resolver un problema real.

MissionMisión · Case FilesExpedientes

Follow the numbers to the truth.Sigue los números hasta la verdad.

A burglar left a code on the evidence locker, and the clues only make sense if you can tell factors from multiples. Detective, split the evidence into equal groups and follow the repeating patterns to crack the case.

Un ladrón dejó un código en el casillero de evidencias y las pistas solo tienen sentido si sabes distinguir los factores de los múltiplos. Detective, reparte las evidencias en grupos iguales y sigue los patrones que se repiten para resolver el caso.

Word bankBanco de palabras 5 words5 palabrasfactor, multiple, common factor, …factor, múltiplo, factor común, …
factorfactor
A whole number that divides another number evenly, with no remainder.Un número entero que divide a otro número exactamente, sin residuo.
multiplemúltiplo
What you get when you multiply a number by 1, 2, 3, and so on.Lo que obtienes al multiplicar un número por 1, 2, 3, y así sucesivamente.
common factorfactor común
A factor that two or more numbers share.Un factor que dos o más números comparten.
greatest common factor (GCF)máximo común divisor (MCD)
The largest factor that two or more numbers share.El factor más grande que comparten dos o más números.
least common multiple (LCM)mínimo común múltiplo (mcm)
The smallest multiple that two or more numbers share.El múltiplo más pequeño que comparten dos o más números.

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.

  1. Compare two problems. A: 24 muffins and 36 cookies go into identical boxes with nothing left over. B: two buses leave every 4 days and every 10 days, and both leave today. Say which problem uses the GCF and which uses the LCM, and find each answer.
  2. Which pair of numbers has a product of 36?
    • 5 and 7
    • 4 and 9
    • 6 and 7
    • 3 and 11
  3. Count by 8s: 8, 16, 24, ___. Which number comes next?
    • 30
    • 28
    • 32
    • 25
  4. What is 63 ÷ 9?
  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.

  1. Which list shows all the factors of 12?
    • 1, 2, 3, 4, 6, 12
    • 1, 12
    • 2, 3, 4, 6
    • 12, 24, 36, 48
  2. Which list shows the first four multiples of 8?
    • 1, 2, 4, 8
    • 2, 4, 6, 8
    • 8, 16, 24, 32
    • 8, 9, 10, 11
  3. What is the greatest common factor of 12 and 18?
    • 2
    • 3
    • 6
    • 36

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.

  1. Fill in the table
  2. Using prime factors, 48 = 2 × 2 × 2 × 2 × 3 and 36 = 2 × 2 × 3 × 3. What is their GCF?
    • 2, the only prime they share
    • 6, from one 2 and one 3
    • 12, from the shared 2 × 2 × 3
    • 144, from multiplying all the primes
  3. Ayasha has painting every 8 weeks and pottery every 6 weeks, both this week. When do they next fall in the same week?
    • In 2 weeks
    • In 14 weeks
    • In 24 weeks
    • In 48 weeks
  4. What is the best next move?
    • List the multiples of 16 and 40 until two match.
    • Multiply 16 × 40.
    • List common factors; choose the greatest.
    • Choose 2, because both numbers are even.

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.

  1. 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.

  1. What is the GCF of 48 and 36?
    • 4
    • 6
    • 12
    • 144
  2. What is the LCM of 6 and 8?
    • 2
    • 14
    • 24
    • 48
  3. A problem asks when two repeating schedules meet again. Which do you use?
    • The least common multiple
    • The greatest common factor
    • Either one works
    • Neither — you list factors