What are the factors of 92? They are the numbers that divide 92 completely without leaving a remainder. In other words, if 'x' is a factor of 92, it means that 'x' divides 92 into equal parts. For example, if 5 is a factor of 15, it means that 15 divided by 5 equals 3. Therefore, 5 divides 15 into three equal parts. The remainder is zero and the quotient is a whole number. Similarly, the factors of 92 divide it into equal parts. The factors of 92 are 1, 2, 4, 23, 46, and 92. In this article, we will explore how to find these factors, as well as the pair factors and prime factors of 92.
Factors of 92 - Calculation, Pair Factors, Prime Factors and FAQs
Last Updated on Jun 13, 2024
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Finding the Factors of 92
The factors of 92 are the integers that divide 92 evenly. Since 92 is a composite number, it has more than two factors. To find these factors, we start by dividing 92 by the smallest natural number, which is 1.
- 92 ÷ 1 = 92
- 92 ÷ 2 = 46
- 92 ÷ 4 = 23
- 92 ÷ 23 = 4
- 92 ÷ 46 = 2
- 92 ÷ 92 = 1
Therefore, the factors of 92 are 1, 2, 4, 23, 46, and 92.
Pair Factors of 92
Pair factors of 92 are pairs of numbers that, when multiplied together, give the product of 92. For instance:
1 × 92 = 92
2 × 46 = 92
4 × 23 = 92
Thus, the pair factors are (1, 92), (2, 46), and (4, 23).
Similarly, we can also find negative pair factors, which are pairs of negative numbers that give the product of 92 when multiplied together.
-1 × -92 = 92
-2 × -46 = 92
-4 × -23 = 92
Hence, the negative pair factors are (-1, -92), (-2, -46), and (-4, -23).
Prime Factorisation of 92
Prime factors of 92 are prime numbers that divide 92 evenly. These can be found using the prime factorisation method.
By applying the prime factorisation method, we divide 92 by prime numbers until the dividend is 1.
Step 1: 92 is an even number, so it can be divided by the smallest prime number, which is 2.
92 ÷ 2 = 46
Step 2: 46 is also an even number, so it can be divided by 2.
46 ÷ 2 = 23
Step 3: 23 is a prime number, so it can only be divided by 23.
23 ÷ 23 = 1
Therefore,
| Prime factorisation of 92 = 2 x 2 x 23 = 22 x 23 |
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Frequently Asked Questions
What are the factors of 92?
There are a total of six factors of 92; they are 1, 2, 4, 23, 46 and 92.
What are the multiples of 92?
The first 10 multiples of 92 are 92, 184, 276, 368, 460, 552, 644, 736, 828 and 920.
Is 92 a prime or composite?
92 is a composite number because it has more than two factors.
What is 92 as a product of primes?
The prime factorization of 92 is given by: 92 = 2 x 2 x 23 or 2^2 x 23.
The product of which two factors produce 92?
The pair factors whose products produce 92 are (1, 92), (2, 46) and (4, 23).
What is the GCF of 92 and 23?
GCF of 92 and 23 is 23.
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