Factoring and Multiples

Well, isn't that a happy little math problem! To find out what times what equals 409, we can break it down into factors. The factors of 409 are 1, 11, 37, and 409. So, 11 times 37 equals 407, and that's the magic combination we're looking for!

Oh, isn't that a happy little question! The highest common factor of 30, 40, and 50 is 10. You see, it's like finding the biggest brush in your collection that can paint all three numbers beautifully at the same time. Just a little bit of math magic to bring harmony to your numbers.

Oh, that's a happy little question! Let's break it down gently. To express 96 as a product of its prime factors using index notation, we first find the prime factors of 96, which are 2 x 2 x 2 x 2 x 2 x 3. Then, we can write this as 2^5 x 3. And just like that, we've created a beautiful representation of 96 using its prime factors and index notation.

3 is a factor of 21 and it is not a multiple of 7.

39 is a composite number; it has factors other than 1 and itself. It is not a prime number.

The 4 factors of 39 are 1, 3, 13, and 39. The factor pairs of 39 are 1 x 39 and 3 x 13.

The proper factors of 39 are 1, 3, and 13 or, if the definition you are using excludes 1, they are 3 and 13. The prime factors of 39 are 3 and 13. The 2 distinct prime factors (listing each prime factor only once) of 39 are also 3 and 13. The prime factorization of 39 is 3 x 13. NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common. the factors of 39 are: 1,39,3,13

1 x 182, 2 x 91, 7 x 26, 13 x 14, 14 x 13, 26 x 7, 91 x 2, 182 x 1

To find out what 7 more than 28 is, you simply add 7 to 28. So, 28 + 7 = 35. Therefore, 7 more than 28 is 35.

The highest common factor (HCF) of 8, 12, and 36 is 4. To find the HCF, you need to identify the common factors of all three numbers and then determine the highest one they all share. In this case, the common factors of 8, 12, and 36 are 1, 2, and 4, with 4 being the highest common factor.

A single number cannot have a least common multiple because "common" refers to multiples that two or more numbers have in common. You have only one number.

The factors of 81 are 1, 3, 9, 27, and 81.

The factors of 243 are 1, 3, 9, 27, 81, and 243.

The common factors of 81 and 243 are 1, 3, 9, 27, and 81. Therefore, the least common factor (the smallest common factor) is 1.

2(x + 4) or 2(x - 4) depending on the missing operational sign.

2)68

2)34

17)17 = 1

Hence '17' is the greatest prime number factor of '68'.

We note that '125' ends in '5'. So it will divide by '5', which is a prime number.

Hence

5)125

5)25

5)5 = 1

Keep dividing by any prime number, that will go into the answer, in this case '5'.

So

5 x 5 x 5 = 5^(3) = 125

NB

Any number that ends in '5' or '0' will divide by '5'.

Any number that ends with an EVEN number will divide by '2'.

Any number were the digits sum to '9' will divide by '9'. e.g. 27 ; 2 + 7 = 9

27/9 = 3

They are 1x15, 2x15, 3x15, 4x15 and 5x15 which is 15, 30, 45, 60 and 75.

64

The odd factors of 60 are the factors that are integers greater than 0 and cannot be evenly divided by 2. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Among these factors, the odd factors are 1, 3, 5, 15. These are the numbers that, when multiplied by another integer, result in 60 without involving the number 2 in the multiplication.

Oh, dude, finding factor pairs is like a walk in the park! So, for 40, you just gotta think of numbers that multiply together to give you 40. Like, 1 and 40, 2 and 20, 4 and 10 - you get the idea. It's like a matching game but with numbers. Easy peasy!

Well, let's take a moment to appreciate the numbers we have here. When we look at 23 and 9, we see that 23 is much bigger than 9. So, we can't divide 9 by 23 without any remainder. And that's okay! Every number has its own unique beauty, just like every brushstroke on a canvas.

The greatest common factor (GCF) of 33 and 40 is the largest positive integer that divides both 33 and 40 without leaving a remainder. To find the GCF, we need to determine the common factors of 33 and 40, which are 1 and the number 1. Therefore, the GCF of 33 and 40 is 1.

Well, honey, 630 and 1080 have a hot date with the number 90 because 90 is a common factor for both of them. So, you can divide 630 by 90 to get 7, and divide 1080 by 90 to get 12. Looks like 90 is the matchmaker for these two numbers!

Well, honey, 2/3 plus 1/2 is 7/6. So, if you were hoping for a simple answer, tough luck! Just add those fractions together like the math whiz you are, and you'll get your result.

The two monomials with a greatest common factor of 4M would be 4M and another monomial that includes 4M as a factor. For example, 4M and 12M would have a greatest common factor of 4M. This is because both 4M and 12M can be divided by 4M without a remainder. The greatest common factor represents the largest monomial that can divide evenly into both monomials.