Factoring and Multiples

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.

Well, isn't that just a happy little question! The largest square factor of 20 is 4. You see, 4 times 4 equals 16, which is the largest square number that can evenly divide into 20. Just imagine that 4 fitting perfectly into 20, creating a beautiful harmony of numbers on your canvas.

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 or 1/7 of fourteen or 14 is the number two or 2.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 300 and 400 is 100

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"

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 20 are 1, 2, 4, 5, 10, and 20.

The largest of the factors they have in common is 4, so 4 is the greatest common factor.

Using prime factorization:

The prime factors of 16 are 2, 2, 2, and 2.

The prime factors of 20 are 2, 2, and 5.

The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.

Well, honey, the number 12 takes the crown in this factor frenzy. It has a whopping 6 factors: 1, 2, 3, 4, 6, and 12. So, if you're looking for the popular kid on the block in terms of factors, 12 is your go-to choice.

Well, honey, to find the number of 4-digit multiples of 9, you just need to divide the largest 4-digit multiple of 9 (9999) by 9 and subtract the smallest 4-digit multiple of 9 (1008) divided by 9. So, 9999 ÷ 9 - 1008 ÷ 9 = 1111 - 112 = 999. That's right, there are 999 4-digit numbers that are multiples of 9.

To find the least common multiple (LCM) of 16, 18, and 20, we first need to find the prime factorization of each number. The prime factorization of 16 is 2^4, 18 is 2 * 3^2, and 20 is 2^2 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^4 * 3^2 * 5 = 720. Therefore, the least common multiple of 16, 18, and 20 is 720.

16 if you count the repeated twos, 10 if you don't.

Oh, what a happy little math question we have here! When we see 26(x3), we can simply multiply 26 by 3 to get 78. So, 26 multiplied by 3 is 78. Great job exploring the world of numbers!