This document discusses various mathematical concepts including factors and multiples, prime numbers, rounding and significant figures, highest common factors (HCF) and lowest common multiples (LCM), place value, fractions, square numbers, and more. It provides examples and explanations for each topic. For factors, it explains that a factor is a number that can be divided without a remainder. For prime numbers, it states that a prime number has exactly two factors: 1 and itself. For rounding, it describes how to round numbers to the nearest 10 or 100 based on the digit in the ones or tens place.

1. BY LEON HEDMAN YEAR 7

2. FACTORS AND MULTIPLES.
A factor is a number that can be divided by another
number without a remainder.
Eg 3 is a factor of 6 because 3 goes into 6
A multiple is a number that is in the times tables.
Eg 64 is a multiple of 8 because 64 is in the 8 times
table.

3. Prime Numbers
What is a prime number?
It’s a number that has 2 ‘factors’ and cannot be divisible
by any other number apart from 1 and itself.
17 is a prime because it only has got 2 factors, 1 and 17.
Is 1 a prime number?
No because 1 only has 1 factor which is 1 and a prime
number has 2 factors so it is not considered a prime.

4. Rounding & Significant Figures.
Rounding is when you find the closest 10, 100,
1000,10000 to a specific number. To round you need to
look at the digit 1 step to the right depending on what
you round by.
Eg 64 to the nearest 10 is 60. We are rounding to the
nearest 10 so the number in the tens column would be 6.
If the number in the units column is 5 or higher, you
would round up but if the number is lower than five, you
wouldn’t say round down, you would keep it the same.
So 64 to the nearest 10 is 60.

5. Significant figures apply to rounding but its much more easier.
If you had the number 75,987 the first significant figure would be
7. Why I got 7 is because you would always have to start from the
left hand side.
From that number 75,987 7 has to be the first significant figure
because it’s the first digit from the left hand side of the number.
Can zero be a significant figure?
It depends. If the zero is in between 2 numbers that aren’t zero it
would count as a significant figure but if its at the end of a number
or in between 2 numbers that are zero it would not be a significant
figure.
Eg 73,730 That zero would not count because its at the end of that
number. WE WILL COME BACK TO THIS LATER.

6. HCF & LCM
HCF stands for Highest Common Factor.
LCM stands for Lowest Common Multiple.
If you were to find the HCF of 24 the answer would be
24 because it’s the highest number that you can
multiply by another to get 24.
Remember A factor is a number that always has to be
itself or below.

7. Lets find the LCM of 9 & 12.
Tip: If we are finding the LCM of 2 numbers you have to
concentrate on the bigger number out of the 2 so in this
case it would be 12. The LCM has to be either itself or
above.
So lets find the LCM of 9 & 12.
9 ,18, 27, 36, 45
12,24,36,48
The LCM is 36 because it’s the number that appears in
both times tables and is the Lowest possible Multiple.

8. Place Value
Place value is so important because if you mess up the
answer will be completely wrong especially with
decimals.
Say if we have the number 345.387, you need to line
them up. Do you see how they are lined up accurately.
H T U. t h th
3 4 5 . 3 8 7

9. Fractions
Fractions can be hard sometimes but I promise its not as
hard as you think.
In a fraction you have a top and bottom number. The top
number is the numerator and the bottom one is the
denominator.
Fractions are almost like decimals but written in a
different style. If you had 8 it would be half because
16
the numerator is half of the denominator .

10. Square Numbers
A square number is a number that is the product of 2
numbers that are the same.
Eg 144 is a square number because 12 x 12=144
64 is a square number because 8 x 8=64
9 is a square number because 3 x 3=9.
92= 81. That little 2 next to the 9 means squared. So in
this case you would say 9 squared.