Patterns in whole Numbers:
Unit Review
Unit Review
- A factor
of a number divides into the number exactly; that is, there is no
remainder.
For example, 62=3, so 2 is a factor of 6.
- A prime
number has only 2 factors, itself and 1.
For example, the only factors of 17 are 17 and 1 so, 17 is a prime number.
- A
composite number has more than 2 factors.
For example, 12 has factors 1, 2, 3, 4, 6, and 12, so 12 is a composite number.
- A square
number, or perfect square, has an
odd number of factors. It can also be written as a power with exponent 2.
For example, the factors of 9 are 1, 3, and 9, so 9 is a perfect square. We write 9=.
- A square
root of a number is a factor that is squared to get the number. For example,
9 is a square root of 81 because =81.
We write =9.
- When a number is written in exponent form, it is written as a power.
For example, for the power :
5 is the base
3 is the exponent
5x5x5 is the expanded form
125 is the standard form
- A cube
number, or a perfect cube, is a
power with exponent 3.
For example, =1, =8, =27, =64, so 1, 8, 27, and 64 are perfect cubes.