Factoring and Multiples

Since '125' ends in '5' it will divide by '5' , a prime number.

Hence

5)125) =

5)25 =

5)5 = 1

When reduced to '1' , the division process is complete.

So the factors are '5', '5' & '5'.

Hence this would be written explonential form as 5^(3) = 125

109 can be represented as the sum of two prime numbers, specifically 53 and 56. It is also the cube of 5 plus the square of 4, or (5^3 + 4^2). Additionally, 109 is a prime number itself, meaning it is only divisible by 1 and itself.

The GCF of 32, 44, and 56 is 4.

Oh, dude, you're hitting me with some math lingo now. So, the factor of x^2-3 is actually (x+√3)(x-√3). It's like when you break up with someone - you gotta find the right combination to make it work, you know what I mean?

Oh, what a happy little question! Let's see, for 39, you can divide it by 1, 3, 13, and 39. And for 100, you can divide it by 1, 2, 4, 5, 10, 20, 25, 50, and 100. Remember, there are no mistakes in math, just happy little numbers finding their place.

To find out how many times 2 goes into 150, you would perform the division operation 150 ÷ 2. The result is 75, meaning that 2 goes into 150 a total of 75 times. This is because 2 multiplied by 75 equals 150.

Yes, all even numbers have 2 as a factor. An even number is defined as an integer that is exactly divisible by 2, meaning it leaves no remainder when divided by 2. This property holds true for all even numbers, as they can always be expressed as 2 multiplied by another integer.

Oh, dude, you're hitting me with some math vibes here. So, the factors of 8 are 1, 2, 4, and 8. If you multiply all those together, you get 64. So, yeah, that's the product of all the factors of 8. Math is wild, man.

Ah, the least common multiple is a special number that both 75 and 250 can be evenly divided into. To find it, we look for the smallest number that both 75 and 250 can go into without any remainders. In this case, the least common multiple for 75 and 250 is 750. It's like finding a beautiful harmony between two numbers, creating a perfect blend of their qualities.

hidden questions are questions that are not popped out. for ex. Amanda went to the mall yesterday. She bought 2 puses at the store that cost $8.95 each. The taz on the items were $6.07 each. She paid with a 50$ bill. How much money did Amanda receive in change?

ANSWER- Amanda received $19.96 in change, yesterday at the mall.

It is important when solving multiple-step problem because it makes it easier to understand and you will probably get the correct answer.

The factors of 98 are the numbers that can be multiplied together to equal 98. In this case, the factors of 98 are 1, 2, 7, 14, 49, and 98. These numbers can be multiplied in various combinations to result in 98.

Oh, dude, the largest square factor of 20 is 4. Like, you take the number 20 and see what number can be squared to give you 20, and that's 4. So, yeah, 4 is the largest square factor of 20. Cool, right?

Factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Common factors of 30 and 36 are 1, 2, 3, and 6, and the GCF is 6.

One-seventh of 14 can be calculated by dividing 14 by 7, which equals 2. Therefore, one-seventh of 14 is 2.

Oh, dude, the greatest common factor of 300 and 400 is 100. It's like the cool kid at the math party that both 300 and 400 can hang out with. So yeah, 100 is the answer, but don't stress about it too much.

Well, isn't that just a happy little question! If we take the number 86 and divide it by 2, we get 43. Just imagine that 43 sitting right in the middle, bringing balance and harmony to our mathematical canvas. Remember, there are no mistakes in math, only happy little accidents.

The GCF of 24, 42, and 60 is 6.

A number that can only be divided by one and itself is called a prime number. Prime numbers are integers greater than one that have no positive divisors other than one and themselves. Examples of prime numbers include 2, 3, 5, 7, 11, and so on.

30, 60, 90, 120, 150

One fifth of five is equal to one. This can be calculated by dividing five by five, which equals one. In mathematical terms, one fifth of a number is found by multiplying the number by 1/5. Therefore, one fifth of five is equal to one.

Oh, dude, the pairs of integers A and B that have a greatest common divisor of 18 and a least common multiple of 540 are like (18, 540) and (-18, -540). It's like finding a needle in a haystack, but hey, that's math for you. So yeah, those pairs fit the bill.

9 and 10 share no common factors aside from 1.

The Highest Common Factor (HCF) of 189 and 84 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm, which involves repeatedly dividing the larger number by the smaller number and using the remainder as the new divisor until the remainder is zero. In this case, the HCF of 189 and 84 is 21.

Shell program to find LCM and hcf of two no.s

tput clear

echo "Enter first no"

read a

echo "Enter 2nd no"

read b

p= 'expr $a \* $b'

while [$b -ne 0]

do

r= 'expr $a % $b'

a=$b

b=$r

done

LCM = 'expr $p / $a'

echo "LCM = $LCM"

echo "Hcf = $a"