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Which numbers will have exactly 3 factors?
As it turns out, the only positive integers with exactly three factors are the squares of primes. For instance, the factors of 9 are 1, 3, and 9, and the factors of 49 are 1, 7, and 49.
What will be the total number of two digit number which have only 3 factors?
25 and 49 are the only two digit numbers which will have exactly three factors. This is because a number will have three factor if and only if the number is a square of a prime number. So 25 and 49 are the only two digit numbers with exactly three factors.
How many two digits numbers exist which have only two factors?
So the factors of 24 are: 1 , 2 , 3 , 4 , 6 , 8 , 12 , and 24 . Next, we’re looking for two-digit positive numbers where the digits multiply to 24 . So we only want to keep the factor pairs we found above that are both single-digits….Develop a Plan.
| 24 | = | 1 · 24 |
|---|---|---|
| 24 | = | 4 · 6 |
| | |
Which number only has two factors?
prime number
A prime number is a number with exactly two factors. A prime number is only divisible by 1 and itself.
How many factors does the number have?
Every number has at least 2 factors (1, and the number itself). Some numbers, known as “highly composite numbers,” can have very large numbers of factors. For example, 840 has 32 factors.
What are the numbers that have exactly 3 factors?
25 and 49 are the only two digit numbers which will have exactly three factors. This is because a number will have three factor if and only if the number is a square of a prime number. So 25 and 49 are the only two digit numbers with exactly three factors.
How do you find the greatest common factor of three numbers?
To find the greatest common factor (GCF) between numbers, take each number and write it’s prime factorization. Then, identify the factors common to each number and multiply those common factors together.
What number has 6 factors?
2 Answers. These numbers have exactly 6 factors. 12, 18, 20, 28, 32, 44, 45, 50, 52, 63, 68, 75, 76, 92, 98, 99. These numbers have exactly 6 prime factors. 64, 96.
Do composite numbers have to have three factors?
Composite numbers are whole numbers that have at least three factors. Performing the divisibility test will help you determine whether or not a number is a prime or composite number.