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How do you find the largest prime factor of a number?

Anonymous

∙ 9y ago

Updated: 11/3/2022

Suppose you have a number N and you want to find its largest prime factor. It is probably easiest to start at the bottom.

Find the smallest prime factor, p.
Find its factor pair = N/p.
If the second number (= N/p) is a prime, then it is the largest prime factor.
- if not, replace N by N/p and go back to the top.

Wiki User

∙ 10y ago

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More answers

Use a factor tree. Figure out the prime factorization. Choose the largest number.

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∙ 9y ago

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Continue Learning about Math & Arithmetic

How do you find the largest prime factor of 100?

Find them all. Pick the largest one. 2 x 2 x 5 x 5 = 100 The largest prime factor of 100 is 5.

Is 3 a prime factor?

3 could be a prime factor but it depends on which number you're trying to find the prime factors of.

Who was the mathematician who discovered the largest prime number that exists?

It has been proven that there is no largest prime number. You can find a list of the largest KNOWN prime numbers here: http://en.wikipedia.org/wiki/Largest_known_prime_number

How do you find the factor for 73?

73 is a prime number. A prime number has only two factors, one and the number itself.

How can making a factor tree help you find the prime factorization of a number?

If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.

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How do you find the largest prime factor of any number?

by looking in internet

How to get largest prime factor?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. The largest of those numbers is the largest prime factor.

What is the largest prime factor of 84000000000?

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What is the largest odd natural number that is a factor of 120?

To find the largest odd natural number that is a factor of 120, we first need to factorize 120 into its prime factors, which are 2^3 * 3 * 5. Since we are looking for an odd factor, we can ignore the factor of 2. The largest odd factor of 120 is then 3, as it is the largest odd prime factor present in the prime factorization of 120.

How do you find the largest prime factor of 56?

Use a factor tree. 56 28,2 14,2 7,2,2,2 The largest prime factor is 7.

What is the largest prime factor of 6886?

To find the largest prime factor of 6886, we need to factorize the number. By dividing 6886 by its smallest prime factor, which is 2, we get 2 * 3443. Next, we divide 3443 by 7 to get 7 * 491. Finally, we divide 491 by 491, which is a prime number. Therefore, the largest prime factor of 6886 is 491.

How do you find the largest prime factor of 100?

Find them all. Pick the largest one. 2 x 2 x 5 x 5 = 100 The largest prime factor of 100 is 5.

What is the highest prime factor of 420?

To find the highest prime factor of 420, we first need to factorize 420 into its prime factors. 420 can be expressed as 2^2 * 3 * 5 * 7. The highest prime factor is 7. Prime factors are numbers that can only be divided by 1 and themselves without leaving a remainder, and the highest prime factor is the largest prime number that can divide the original number.

How do you find the largest prime factor?

Well, I have a manual method that will tell you how to find the largest prime factor. For example, we have two numbers 1996 and 99999 and we want to find their prime factors. First of all we have to construct a tree of these numbers as below: 1996 998,2 449,2,2 1996 = 2*2*499 99999 33333,3 11111,3,3 271,41,3,3 99999 = 3*3*41*271 If you note in the above examples the largest prime factors are 499 and 271. Similarly, for any number you can find the prime factor by using the above method.

What is the largest 2 digit number that is a factor of 3375?

To find the largest 2-digit number that is a factor of 3375, we need to factorize 3375 into its prime factors. 3375 can be expressed as 3^3 * 5^3. To find the largest 2-digit number that is a factor, we need to consider the factors that are multiples of both 3 and 5. The largest 2-digit number that fits this criteria is 75, which is 3 * 5^2.

Is 3 a prime factor?

3 could be a prime factor but it depends on which number you're trying to find the prime factors of.

How do you find a prime factor of 59using a t?

Whatever you use, 59 is a prime number. Its only prime factor is itself.

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