Question

2. Irene wants to list the factors for 88. She

writes 2, 4, 8, 11, 22, 44, and 88. Is Irene
correct? Explain.

Answer 1

Irene is CORRECT.

Explanation:

Here, the given number is 88.

The factor of any given number are all those numbers which are DIVIDES COMPLETELY the given number.

So, here, the REMAINDER = 0

Now, Prime Factorizing the number 88, we get:

88 = 2 x 2 x 2 x 11

So, here 2 and 11 are PRIME FACTORS of the number 88.

Also, 88 = 2 x 44 ⇒ 2 and 44 are FACTORS of the number 88.

88 = 4 x 22 ⇒ 4 and 22 are FACTORS of the number 88.

88 = 11 x 8 ⇒ 8 and 11 are FACTORS of the number 88.

Also, a number itself is ALWAYS its factor.

Hence the total factors of 88 are 2, 4 , 8 ,11, 22, 44 and 88.

Irene is CORRECT.