Question

Write the factors of the following monomials:

(1) 7p
(2) 6m
(3) 9xy
(4) 22ab
(5) p²q
(6) 10xy²
(7) 5a²
(8) 15m²n
(9) 30a²b²
(10) 12x²

Answer 1

(1) 7p
= 7 × p
Hence, factors of 7p are 7 and p.

(2) 6m
= 2 × 3 × m
Hence, factors of 6m are 2, 3 and m.

(3) 9xy
= 3 × 3 × x × y
Hence, factors of 9xy are 3, 3, x and y.

(4) 22ab
= 2 × 11 × a × b
Hence, factors of 22ab are 2, 11, a and b.

(5) p²q
= p × p × q
Hence, factors of p²q are p, p and q.

(6) 10xy²
= 2 × 5 × x × y × y
Hence, factors of 10xy² are 2, 5, x, y and y.

(7) 5a²
= 5 × a × a
Hence, factors of 5a² are 5, a and a.

(8) 15m²n
= 3 × 5 × m × m × n
Hence, factors of 15m²n are 3, 5, m, m and n.

(9) 30a²b²
= 2 × 3 × 5 × a × a × b × b
Hence, factors of 30a²b² are 2, 3, 5, a, a, b and b.

(10) 12x³
= 2 × 2 × 3 × x × x × x
Hence, factors of 12x³ are 2, 2, 3, x, x and x.