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How do you find the prime factorization of 900 using exponents?
You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
What is the units digit of the product of the first 100 prime numbers?
0 Look at the product of the first 3 prime numbers: 2 x 3 x 5 = 30. Any number multiplied by 30 will have a 0 in the units digit. So, no matter how many prime numbers you are multiplying, if once you have a number ending in 0, all of the rest will end in 0.
What is a diagram used to identify the prime factors of a number?
A factor tree is very useful when identifying the prime factors of a number. You draw two lines off of it and write two numbers that multiply together to make that number. If one of the numbers cannot be divided any further, then circle it. That is a prime number. Draw two lines off of numbers that can be divided further, so you have multiple branches dividing off into certain numbers. Once all the numbers have been divided down, you are left with prime numbers which you can then multiply to get back to the original number.
What are the greatest common factor and least common multiple of 20 and 36?
The GCF and the LCM of 20 and 36 are 4 and 180, respectively.To calculate the GCF of a series of numbers, you need to first figure out the prime factors of each of the numbers.The prime factors of 20 are 2, 2, and 5The prime factors of 36 are 2, 2, 3, and 3The two numbers share 2 and 2 as prime factors so the GCF = 2 x 2 = 4To calculate the Least Common Multiple (LCM), you need to first figure out the prime factors of each of the numbers, and then create a number using all the factors (but only using shared factors once).In this instance the factors required are 2, 2, 3, 3, and 5These, when multiplied together, give an product of 180
Can composite numbers have prime numbers as factors?
== == Yes. Once we open the field from integers to composite numbers, the gloves come off and lots of things are possible. Example: 1 1/2 = 3 x 1/3. The factor 3 is prime. All composite numbers have prime numbers as factors. Examples: 4 is a composite number of 2 x 2. 38 is a composite number of 2 x 19. 66 is a composite number of 2 x 3 x 11. == ==
