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$list of prime numbers to 100$

#List of prime numbers to 100 update

This chart lists some candidates for the smallest number with 100 factors. We can find numbers that have 100 factors by using prime factorizations. If you convert 100 from base 10 to these other bases, you will get:

26² – 24² = 100, and that’s because (26 + 24)(26 – 24) = 100ġ00 is a palindrome in five different bases (Palindromes read the same backward or forwards such as “Madam, I’m Adam” or “race car”):.

Here’s the ONE non-trivial way 100 is the difference of two squares: Can you find the greatest common factor of any of the other triples? That last one is called a Primitive Pythagorean triple because the greatest common factor of 100, 2499, and 2501 is one.

1 ³ + 2 ³ + 3 ³ + 4 ³ = 100, that’s the sum of the first four cubesġ00 is the hypotenuse of two Pythagorean triple triangles:īut 100 is a leg in SEVERAL other Pythagorean triples:.

100 = 47 + 53 that’s the sum of two consecutive prime numbers.

(1 + 2 + 3 + 4)² = 100 that the square of the sum of the first four numbers.

16 + 18 + 20 + 22 + 24 = 100 that’s the sum of 5 consecutive EVEN numbers.

100 = 22 + 24 + 26 + 28 that’s the sum of 4 consecutive EVEN numbers.

100 = 18 + 19 + 20 + 21 + 22 that’s the sum of 5 consecutive numbers.

Note: When 100 is a clue in a FIND THE FACTORS puzzles, always use 10 × 10. Even though 100 has other factors, 10 × 10 is its only factor pair in which both factors are ten or less.ġ00 is the sum of a few different types of consecutive numbers: In other words, 6² + 8² = 10²ģ6, 64, and 100 were all included as clues in the very first puzzle I published on this blog: Did you know that 100 can be written as the sum of TWO OTHER perfect squares? Since √100 = 10, a whole number, 100 is a perfect square. What do you think the area of the following shape will be? I don’t think we make enough of the unique prime factorisation thing to students. Click on the tweet to see the whole chart.

What about the factors of all the numbers from 1 to 100? Here’s a clever chart giving those factors. Here are a few of several possible factor trees that can be made for the number 100: Adding one to each and multiplying we get (2 + 1)(2 + 1) = 3 × 3 = 9. The exponents in the prime factorization are 2 and 2.Prime factorization: 100 = 2 × 2 × 5 × 5, which can be written 100 = 2²× 5².Here is the basic factoring information for the number 100. What about students in 4th or 5th grade or even middle school or high school? Can older students celebrate the 100th day of school? I think so! Share some of the following information with them: suggested in MathGeekMama’s 100 Math Ideas for the 100th Day of School. You will also love the games, puzzles, art projects, etc. This song would also go very well with Paula’s 100¢ project above: Third graders could learn these multiplication facts on the 100th day of school. It happens to teach important multiplication facts, including some about the number 100. Her post includes detailed instructions, templates of everything needed to complete the project, and links showing completed projects. In the video near the end of her post, she explains her 100¢ art project. Her project would also be perfect for the 100th day of school for the mid-elementary grades.

#List of prime numbers to 100 update

I just had to update this post and share her work with you. My blogging friend, Paula Krieg, designed a fabulous art project for second-grade students. They bring collections of 100 items to school, and they also complete many 100th day worksheets. They read books about 100 and the 100th day of school. Kindergarten and first-grade students from coast to coast celebrate the 100th Day of school.