Write 2^2 * 3 * 5 as a natural number?

  • Thread starter penza
  • Start date
  • Tags
    Natural
In summary, a natural number is a positive whole number that does not include fractions or decimals. To write 2^2 * 3 * 5 as a natural number, we multiply the numbers together and get the simplified form of 60. It is important to write expressions in their simplest form for ease of calculation. 2^2 * 3 * 5 can be written as 60, but this is not the most simplified form. In mathematics, composite numbers like 2^2 * 3 * 5 are studied along with prime numbers to understand the properties and relationships between different types of numbers.
  • #1
penza
13
0
1) Write 2^2 * 3 * 5 as a natural number? I get 60 is it right or should i put 4*3*5= 60
2) Write 420 as the product of its prime factors in exponent form?
What do i have to do ?
 
Mathematics news on Phys.org
  • #2
1) Yes; it doesn't matter.
2) Rewrite 420 in the shape that 60 was presented as in a)
 
  • #3


1) Yes, 60 is the correct answer. 2^2 * 3 * 5 is already in its simplest form, so there is no need to further simplify it.
2) To write 420 as the product of its prime factors in exponent form, you would need to find the prime factors of 420, which are 2, 2, 3, 5, and 7. Then, you would write it as 2^2 * 3 * 5 * 7. This shows that 420 is the product of 2 multiplied by itself twice, 3, 5, and 7.
 

1. What is a natural number?

A natural number is a positive whole number, starting from 1 and increasing by increments of 1 (e.g. 1, 2, 3, 4, etc.). It does not include fractions or decimals.

2. How do you write 2^2 * 3 * 5 as a natural number?

To write 2^2 * 3 * 5 as a natural number, we multiply the numbers together. This would result in the natural number 60 (2^2 = 4, 4 * 3 = 12, 12 * 5 = 60).

3. Why is it important to write 2^2 * 3 * 5 as a natural number?

In mathematics, it is important to simplify expressions and write them in their most simplified form. Writing 2^2 * 3 * 5 as a natural number is the simplest form of the expression and makes it easier to work with in calculations.

4. Can 2^2 * 3 * 5 be written in any other form?

Yes, 2^2 * 3 * 5 can also be written as 60. However, this is not considered the most simplified form as it includes the exponent and multiplication symbols.

5. What is the significance of 2^2 * 3 * 5 as a natural number in mathematics?

2^2 * 3 * 5 is a composite natural number, meaning it can be divided by other natural numbers besides 1 and itself. In mathematics, composite numbers are studied along with prime numbers to understand the properties and relationships between different types of numbers.

Similar threads

  • General Math
Replies
3
Views
553
Replies
3
Views
557
Replies
5
Views
1K
Replies
3
Views
483
  • General Math
Replies
1
Views
564
Replies
5
Views
893
Replies
10
Views
959
  • General Math
Replies
24
Views
2K
Replies
3
Views
264
Replies
3
Views
770
Back
Top