The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, and 400. Any number which is a multiple of 400 is said to have this number as a factor. Factors of a number are numbers that divide the number completely without leaving any remainder.
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What are the multiples of 400?
The multiples of 400 are any numbers that can be evenly divided by 400. This means that if you take 400 and divide it by any number, the result will be a whole number. The first multiple of 400 is 0, then 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600, 4000, and so on.
You can continue this sequence infinitely.
What is 1 * 2 * 3 * 4 * 5 all the way to 100?
The answer to 1 * 2 * 3 * 4 * 5 all the way to 100 is 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000.
Is 400 a perfect cube?
No, 400 is not a perfect cube. A number is a perfect cube when its cube root is a whole number. The cube root of 400 is approximately 5. 64, which is not a whole number and therefore 400 is not a perfect cube.
Is negative 4 a factor?
No, negative 4 is not a factor. Factors are defined as numbers that are multiplied together to form a product. The only numbers that can be used for multiplication are positive and negative whole numbers, counting and 0, but negative numbers cannot be a factor on their own.
For example, when 4 is multiplied by -2, 4 is the factor and -2 is the multiplier. However, if 4 is multiplied by -4, both 4 and -4 are factors.
What is square root of 400 by prime factorization?
The square root of 400 can be found by prime factorization. We can break 400 down into factors of 2 and 200, then break 200 into factors of 2 and 100, then break 100 into factors of 2 and 50, and finally break 50 into factors of 2 and 25.
By gathering all of the factors of 2 together, we get a product of 2 x 2 x 2 x 5 x 5, which is equal to 400. Therefore, the square root of 400 is 2 x 5, or 10.
What is the square root of the following by means of factor 400?
The square root of 400 can be determined by means of factoring. First, we note that 400 is a perfect square, meaning it can be expressed as the product of two equal integers. In this case, 400 can be factored as 20 × 20.
Since the square root of any number is the number that, when multiplied by itself, produces the number, the square root of 400 is 20.
How do you find the square root using prime factorization?
Finding the square root of a number using prime factorization involves breaking down the number into its prime factors, such as 2 x 2 x 3 x 3 (2^2 x 3^2 = 36). Then, you need to identify the factors that appear twice, as those will be the square root of the original number.
For example, in 36, the factors that appear twice are 2 and 3, so the square root of 36 is 6. To further illustrate this concept, let’s use the number 15. The prime factorization of 15 is 3 x 5. Since there are no factors that appear twice, the square root of 15 is not a whole number and therefore the answer is not an integer.
In this case, the square root of 15 is approximately 3. 87.
What is the prime factorization of 400 using a factor tree?
The prime factorization of 400 using a factor tree is as follows:
400
➗2 = 200
➗2 = 100
➗2 = 50
➗2 = 25
➗5 = 5
Therefore, the prime factorization of 400 is 2×2×2×2×5, which can also be written as 2⁴ x 5.
IS 400 a perfect cube prime factorization?
No, 400 is not a perfect cube. The prime factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5, which can be broken down into two prime factors: 2 and 5. This is not a perfect cube, since a perfect cube must have a prime factorization of the form (p x p x p), where p is a prime number.
Therefore, 400 is not a perfect cube by prime factorization.
How do you break down the square root of 400?
The square root of 400 can be broken down using the long-hand method. First, you would identify the two perfect square numbers that can be multiplied together to equal 400. Those two numbers are 20 and 20.
You would then find the square root of each of those numbers, which would be 4 and 4. Finally, you would add the two square root numbers together (4 + 4), giving you a final answer of 8 (the square root of 400).
How many factors does 400 have?
400 has 12 factors. The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, and 100. 400 is an even number and is divisible by numbers other than 1 and itself, which makes it a composite number.
400 can also be written as 4 x 100; this may help identify the factors more quickly.
Does 400 have a perfect square factor?
Yes, 400 does have a perfect square factor. The number 400 is composed of two perfect square factors. It can be factored into 4 x 100 or 10 x 40. Both factors, 4 and 100, are perfect squares, since 4 = 2² and 100 = 10².
This means that 400 has a perfect square factor.
What number should be added to 400 to make it a perfect cube?
The number that needs to be added to 400 to make it a perfect cube is 7. This is because a perfect cube is a number that can be expressed as the cube of an integer, ensuring that the result is an integer.
It does not contain a fractional part or a decimal. 400 can be expressed as the cube of 4 (4^3 = 64), but adding 7 to get 407 (which is equal to 4^3 + 7) will make it a perfect cube.
