What are the factors of 88 in pairs?
The Correct Answer and Explanation is:
Factors of 88 in Pairs
The factor pairs of 88 are:
- (1, 88)
- (2, 44)
- (4, 22)
- (8, 11)
Explanation
To understand the factor pairs of 88, we need to know what factors are. Factors are whole numbers that can be multiplied together to produce a specific number. When we talk about factor pairs, we mean two numbers that multiply to give that number.
In this case, we’re looking for all pairs of whole numbers that multiply to give 88.
Let’s go step by step:
- Start with 1:
1×88=881 \times 88 = 881×88=88, so (1, 88) is a factor pair. - Next is 2:
88 is even, so it is divisible by 2.
2×44=882 \times 44 = 882×44=88, so (2, 44) is another pair. - Check 3:
88÷3=29.3388 ÷ 3 = 29.3388÷3=29.33 — not a whole number, so 3 is not a factor. - Try 4:
4×22=884 \times 22 = 884×22=88, so (4, 22) is a valid pair. - Try 5:
88 does not end in 0 or 5, so it’s not divisible by 5. - Try 6 and 7:
Both give decimal answers when 88 is divided by them — not valid. - Try 8:
8×11=888 \times 11 = 888×11=88, so (8, 11) is the last valid pair.
Now, if we try to divide 88 by any number larger than 11 (but less than 88), we’ll just reverse one of the earlier pairs.
Summary
We stop once the first number in the pair becomes larger than the second. That’s because we already included that pair in reverse. So the complete list of factor pairs of 88 is:
(1, 88), (2, 44), (4, 22), (8, 11)
These pairs are useful in many math problems, especially in algebra, number theory, and real-life applications involving area or product-based reasoning.
