››Prime Factorization and Divisibility
Grade 5 · Math
Prime Factorization and Divisibility
3 activities · Fill in! · Sort it!
Divisibility rules (4, 6, 8), prime factorization, HCF and LCM using factors, word problems
SheetBerry · Printable Worksheets
Tips & Praises: ____________________________Tr. Sign.: ____________________Date: _______ Month: _______ Year: _______
1
Write the prime factorization of each number (factor tree method)!
12 =
2 × 2 × 5
2 × 2 × 3
2 × 3 × 3
6 =
2 × 2 × 5
2 × 2 × 2 × 5
2 × 3
24 =
2 × 3
2 × 3 × 5
2 × 2 × 2 × 3
30 =
2 × 3 × 5
2 × 3 × 3
2 × 2 × 2 × 3
40 =
2 × 2 × 3
3 × 5
2 × 2 × 2 × 5
2
Sort each number — is it divisible by the given number? (Use divisibility rules!)
1210 ÷ 6 (even AND digit sum 3, divisible by 3)
2312 ÷ 8 (last 3 digits 312 ÷ 8 = 39, exact)
3350 ÷ 6 (even but digit sum 8, not divisible by 3)
4125 ÷ 4 (last two digits 25 not divisible by 4)
5144 ÷ 4 (last two digits 44, divisible by 4)
6504 ÷ 8 (last 3 digits 504 ÷ 8 = 63, exact)
7130 ÷ 6 (not even AND digit sum 4 not divisible by 3)
8648 ÷ 4 (last two digits 48 ÷ 4 = 12, exact)
Divisible
write sentence numbers here
NOT divisible
write sentence numbers here
3
Use prime factorization to find HCF and LCM!
LCM of 4 and 6 = (4=2², 6=2×3; LCM=2²×3)
LCM of 24 and 36 = (2³×3²)
HCF of 8 and 12 = (8=2³, 12=2²×3; common: 2²)
LCM of 6 and 10 = (6=2×3, 10=2×5; LCM=2×3×5)
HCF of 24 and 36 = (24=2³×3, 36=2²×3²; common: 2²×3)
Colour a star for each activity you finish!
Ask a parent or teacher to check your work!
Teacher's comment
Signed: _______________
