Here we have a collection of all the information you may need about the Prime Factors of 400. We will give you the definition of Prime Factors of 400, show you how to find the Prime Factors of 400 (Prime Factorization of 400) by creating a Prime Factor Tree of 400, tell you how many Prime Factors of 400 there are, and we will show you the Product of Prime Factors of 400.
Prime Factors of 400 definition
First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 400 are all the prime numbers that when multiplied together equal 400.
How to find the Prime Factors of 400 The process of finding the Prime Factors of 400 is called Prime Factorization of 400. To get the Prime Factors of 400, you divide 400 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 400. See illustration below.
All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 400. Here is the math to illustrate: 400 ÷ 2 = 200200 ÷ 2 = 100100 ÷ 2 = 5050 ÷ 2 = 2525 ÷ 5 = 55 ÷ 5 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 400. Thus, the Prime Factors of 400 are: 2, 2, 2, 2, 5, 5.
How many Prime Factors of 400? When we count the number of prime numbers above, we find that 400 has a total of 6 Prime Factors.
Product of Prime Factors of 400The Prime Factors of 400 are unique to 400. When you multiply all the Prime Factors of 400 together it will result in 400. This is called the Product of Prime Factors of 400. The Product of Prime Factors of 400 is: 2 × 2 × 2 × 2 × 5 × 5 = 400
Prime Factor CalculatorDo you need the Prime Factors for a particular number? You can submit a number below to find the Prime Factors of that number with detailed explanations like we did with Prime Factors of 400 above.
Question: Children (and adults) are often uncertain whether the multiples of, say, 12 are the numbers one can multiply (like 3 and 4) to make 12, or the numbers that one can make by multiplying 12 times other numbers. The terms multiple and factor are often confused. What are the multiples of a number?
It is often useful to know what multiples two numbers have in common. One way is to list (some of) the multiples of each and look for a pattern. For example, to find the common (positive) multiples of 4 and 6, we might list:
The numbers 12, 24, 36, and 48 appear on both of these lists, and more would appear if the lists were longer. They are common multiples, multiples that the two numbers have in common. The least common multiple is the smallest of these: 12. All the other common multiples are multiples of the least common multiple.
Another way of finding the least common multiple of 4 and 6 involves factoring both numbers into their prime factors. The prime factorization of 4 is 2 × 2, and the prime factorization of 6 is 2 × 3. Any common multiple of 4 and 6 will need enough prime factors to make each of these numbers. So, it will need two 2s and one 3—the two 2s that are needed to make 4 (as 2 × 2) and the 3 (along with one of the 2s we already have) to make 6 (as 2 × 3). The prime factorization of this least common multiple is, therefore, 2 × 2 × 3, and the least common multiple is 12.
What’s in a word?
A multiple is what you get by multiplying.
Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200. There are 14 integers that are factors of 400. The biggest factor of 400 is 200. Positive integers that divides 400 without a remainder are listed below.
What are the multiples of 400?
What are the factors of 400 in 2 pairs?
Related Greatest Common Factors of 400
Here are the factors (not including negatives), and some multiples, for 1 to 100:
See the numbers with only two factors, such as 97? They are prime numbers.
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