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Let n be the number whose prime factors we so desire to know. Required knowledge: All prime numbers less than sqrt(n).

Test n for divisibility by each such prime numbers, starting with 2:

If a Prime number, p, is found to divide n, divide n by p, record p and continue (test for divisibility by p again) using n/p in the place of n.

The recorded prime factors are the prime factors of n.

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Q: How do you calculate prime factors?
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What number less than 100 has exactly 4 prime factors?

There is more than one possible answer. The prime factors of 16 are 2, 2, 2, and 2. It has four prime factors, but only one distinct prime factor. The prime factors of 24 are 2, 2, 2, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 36 are 2, 2, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 40 are 2, 2, 2, and 5. It has four prime factors, but only two distinct prime factors. The prime factors of 54 are 2, 3, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 56 are 2, 2, 2, and 7. It has four prime factors, but only two distinct prime factors. The prime factors of 60 are 2, 2, 3, and 5. It has four prime factors, but only three distinct prime factors. The prime factors of 81 are 3, 3, 3, and 3. It has four prime factors, but only one distinct prime factor. The prime factors of 84 are 2, 2, 3, and 7. It has four prime factors, but only three distinct prime factors. The prime factors of 88 are 2, 2, 2, and 11. It has four prime factors, but only two distinct prime factors. The prime factors of 90 are 2, 3, 3, and 5. It has four prime factors, but only three distinct prime factors.


What are the prime factors of 336?

The prime factors of 336 are: 2,3,7


What are the factors and prime factors of 1993?

The factors of 1993 are: 1 1993 The prime factors are: 1993 is a prime number.


What are the factors and prime factors of 401?

The factors of 401 are: 1 401 The prime factors are: 401 is a prime number.


How many prime factors does 30 have?

30 has three prime factors. The prime factors are 2,3,5.

Related questions

What are the factors and prime factors of 730?

Prime factors are 2, 5 & 73. You should now be able to calculate the composite factors.


What are the factors and prime factors of 2493?

Prime factors of 2493: 3 x 3 x 277. It should be straightforward to calculate the composites...


What are the factors and prime factors of 639?

3 x 3 x 71 are the prime factors. You should now be able to calculate the composites...


How do you calculate prime numbers and what you mean by prime number?

Prime numbers have only two factors, one and themselves. The number 5 is prime.


How do you find the greatest common divisor in three numbers?

Calculate their prime factors.


How do you calculate the LCM of 18 24 and 42?

prime factors of 18 are 2 and 32 prime factors of 24 are 23 and 3 prime factors of 42 are 2, 3 and 7 LCM = 23*32*7 = 504


How are prime factors and factors related?

Prime factors are factors that are also prime numbers.


How do you calculate first ten prime numbers?

You go through each number, starting with 2, 3, 4, ... and check if the number has any smaller factors. If it has no smaller factors, you conclude it is a prime number. Continue until you have 10 prime numbers.


How would you work out what number has 15 factors?

I would pick any prime number and calculate it to the 14th power.


What number less than 100 has exactly 4 prime factors?

There is more than one possible answer. The prime factors of 16 are 2, 2, 2, and 2. It has four prime factors, but only one distinct prime factor. The prime factors of 24 are 2, 2, 2, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 36 are 2, 2, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 40 are 2, 2, 2, and 5. It has four prime factors, but only two distinct prime factors. The prime factors of 54 are 2, 3, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 56 are 2, 2, 2, and 7. It has four prime factors, but only two distinct prime factors. The prime factors of 60 are 2, 2, 3, and 5. It has four prime factors, but only three distinct prime factors. The prime factors of 81 are 3, 3, 3, and 3. It has four prime factors, but only one distinct prime factor. The prime factors of 84 are 2, 2, 3, and 7. It has four prime factors, but only three distinct prime factors. The prime factors of 88 are 2, 2, 2, and 11. It has four prime factors, but only two distinct prime factors. The prime factors of 90 are 2, 3, 3, and 5. It has four prime factors, but only three distinct prime factors.


What are the prime factors of 336?

The prime factors of 336 are: 2,3,7


What is a number less than 50 with only 2 prime factors?

The following numbers less than 50 have 2 prime factors. Some are squares, having two of the same prime factor. Some have two different prime factors. The prime factors of 4 are 2 and 2. The prime factors of 6 are 2 and 3. The prime factors of 9 are 3 and 3. The prime factors of 10 are 2 and 5. The prime factors of 14 are 2 and 7. The prime factors of 15 are 3 and 5. The prime factors of 21 are 3 and 7. The prime factors of 22 are 2 and 11. The prime factors of 25 are 5 and 5. The prime factors of 26 are 2 and 13. The prime factors of 33 are 3 and 11. The prime factors of 34 are 2 and 17. The prime factors of 35 are 5 and 7. The prime factors of 38 are 2 and 19. The prime factors of 39 are 3 and 13. The prime factors of 46 are 2 and 23. The prime factors of 49 are 7 and 7.