Question

Find the total number of prime factors of (641 x 356 x 117 x 659)

Answer 1

Hi there!

¶¶ Steps to find No. of prime factors ¶¶
• Resolve each No. into prime factors.
• Count No. of such factors by adding the index which gives No. of prime factors


Now,
• 641 = 1×641 = 641¹
(641 is itself a prime)

• 356= 2²×89¹

• 117= 3²×13¹

•659= 1× 659= 659¹
(659 is itself a prime No.)

So,
641 × 356 × 117 × 659
= 641¹ × 2² × 89¹ × 3² × 13¹ × 659¹.

Add all powers
1+ 2+1+2+1+1
= 8

•°• Total No. of prime factors in product are 8

:)
Hope it helps

Answer 2

356=2×2×89

117=3×3×13

659=prime factors

641=prime factor

Prime no is 8