Factorization of 1260

Answers

Answer 1

Answer: The prime factorization of a number is when you break it down into the very basic prime numbers that, when multiplied together, will equal that final number.
Right off the bat, we can see that 1260 is an even number, so we will start by dividing by 2, since all even numbers are divisible by 2

1260 / 2 = 630

Again, the number is obviously divisible by 2, so we will do it again

630 / 2 = 315

315 is not divisible by 2, so let us check if it is divisible by 3.
A proven way to do this is to add the individual numbers in the bigger number, and if that number is divisible by 3, then the bigger number is also divisible by 3.

3 + 1 + 5 = 9

9 is divisible by 3, so we know that 315 is also divisible by 3.

315 / 3 = 105

If any number (except 0) ends with a 5 or a 0, then it is divisible by 5.

105 / 5 = 21

21 is again divisible by 3

21 / 3 = 7

So there are our prime factor numbers.

The prime factorization of 1260 is as follows:

2 * 2 * 3 * 3 * 5 * 7

Hope that helped =)

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Karla has a younge sister and an older brother.Her younger sister is 3 years more than a half of karla's age . Her older brother is 7 year lees than twice karla's age. If the sum of all 3 of their is 38, how old is kayla.

Answers

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The first four terms of a sequence are shown below: 7, 4, 1, -2 Which of the following functions best defines this sequence? A.f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1 B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1 C. f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1 D.f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1

Answers

Answer:

Option (B) is correct.

The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

Step-by-step explanation:

Given sequence 7 ,4, 1,-2

We have to choose a function from given options that best defines this sequence.

Let f(n) denotes the value at nth position,

Like f(1) = 7 , so here, n= 1.

Since next term is 4 = f(2)

4 can be written as 7 - 3 = f(1) -3

Next term is 1 = f(3)

1 can be written as 4-1 = f(2) - 3

Next term is -2 = f(4)

-2 can be written as 1-3 = f(3) - 3

Thus, following the sequence and writing in general form for n

f(n+1) = f (n) -3 , n ≥ 1

Thus, option (B) is correct.

The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

answer is B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

f(1) = 7
f(2) = 7 -3 = 4
f(3) = 4 -3 = 1
f(4) = 1 -3 = -2

What is deductive reasoning in geometry

Answers

Deductive reasoning is a valid form of proof.

deductive reasoning is the process by which a person makes conclusions based on previously known facts.

What type of triangle has two congruent sides and two angles measuring 45 degrees?

Answers

That's an isosceles right triangle.

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4represent the third integer.
Which equation can be used to find the first integer?
0 3x + 6 = 72
0 3х + 72 = 2х +6
03x = 2х +6
2x + 64 = 72

Answers

Answer:

3x + 6 = 72

Step-by-step explanation:

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What is the solution to the equation?2 - z/3 =12

A.
z = –42

B.
z = –34

C.
z = –30

D.
z = 42

Answers

2 - z/3 = 12

Subtract 2 to both sides:

-z/3 = 10

Multiply 3 to both sides:

-z = 30

Multiply -1 to both sides:

z = -30

First, add 2 to both sides, and you get z/3 = 14. Then multiply 3 to both sides. 3 x 14 = 42, so we have z = 42. :)

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