Neha multiplies an odd number by an even number. What can she be certain of about the product?

Class 6Playing with NumbersPlaying with Numbers

AIt is always odd.
BIt is always prime.
CIt is odd whenever the odd number is the larger of the two.
DIt is always even.

Step-by-Step Solution

The even factor carries a 2 and that 2 stays inside the product:

7 \times 4 = 28, 9 \times 6 = 54, 15 \times 2 = 30

. The trap is reading the parity off the odd number, or off whichever number is bigger — the even factor always decides.

Answer: D) It is always even.

Key idea: Factors come in pairs

To find every factor of a number, walk up from 1 and check each whole number — if it divides the number with no remainder, it is a factor. Factors come in **pairs**: if 4 is a factor of 12, so is 12 ÷ 4 = 3. So you only need to check up to the square root of the number to find them all. Factors of 12:

1 \times 12, 2 \times 6, 3 \times 4

— six factors total: 1, 2, 3, 4, 6, 12. Every number has 1 and itself as factors.

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