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You can draw a number of items, then show how they are broken down into smaller sets (factors).
For example, to demonstrate factors of 6, you could draw
O O O
O O O = OOO + OOO (two sets of three) means 6 = 2 x 3
O O O
O O O = OO + OO + OO (three sets of two) means 6 = 3 x 2
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.
This method has limited application. It works only for polynomials and only if it can be factorised into binomial terms.
Suppose you have a polynomial in x of order n which is factorised as p(x) = (x - a1)*(x - a2)* ... *(x - an)
then the graph of a polynomial must cross the x-axis at the points a1, a2, ... an.
If the factorisation is q(x) = (x - a1)*(x^2 + bx + c) then the graph will cross the x-axis at a1. You may not be able to factorise the quadratic - either because it has two irrational roots - in which case the graph will cross the x-axis at these irrational values, or the quadratic has two complex roots - in which case the graph will not cross the x-axis again.
Factor trees, ladders, rainbows, fireworks... Whatever works for you.
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How does an engineer use prime factorization?
Precisely.
How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
What is the graph of India population?
You can check wikipedia at http://en.wikipedia.org/wiki/Image:India-demography.png
Use prime factorization to find gcf of 135 and 351?
Prime factorization for 135 = 3 x 3 x 3 x 5Prime factorization for 351 = 3 x 3 x 3 x 13GCF of (135,351) = 27
When do you use a factor tree?
When you want to find the prime factorization of a composite number.
How can you design an algorithm to check if a given graph is connected?
Use a simple DFS/BFS traversal. If you have gone through all nodes, the graph is connected.
When do you use a graph?
you use a graph to see your progress
You can use a table or graph to do what to your findings?
You can use a table or a graph to organize you findings.
What is a graph that use percentages?
Any graph can use percentages.
You can use a table or graph to what your findings?
You can definitely use a table or graph to what your findings. You can use a bar graph for this purpose for example.
What graph would you use to show monthly temperature for the year?
You can use a bar graph or a line graph.
What type of graph do you use when you are comparing things that is not a double bar graph?
you would use a line graph
When to use a bar graph?
You can use a bar graph when you are working with numers. :)
How do you use a picture graph?
picture graph
When do you use a column scatter graph?
Never. You can use a column graph, or a scatter graph or even a superimposition of the two but there a column scatter graph does not exist.
What graph would you use to graph mph and miles of a trip?
line graph
What graph is best for showing percentages?
a circle graph is the best graph to use for that!!
