The document discusses factors and prime factorization of numbers. It provides examples of finding the factors of numbers like 30 and 26. The factors are the numbers that divide a given number with no remainder. Prime factorization is finding the prime factors of a number. There are two methods described - the factor tree method and the continuous division method. The factor tree method involves breaking down each factor into prime factors until only prime numbers remain. The continuous division method involves continuously dividing the number by the smallest prime factor. Examples are given of using these methods to find the prime factors of 40 and 27.

2. 2

3. Factors of a
Number
3

4. 4
Factors – are the numbers
multiplied to get a product.
• Numbers which divide a number
with no remainder are called
factors of the number.
Remember:

5. 5
Let’s Try:
Give the factors of 30:
Factors:
1 x 30 = 30
2 x 15 = 30
1
30
2
15
Factors:
30 ÷ 1 = 30
30 ÷ 30 = 1
30 ÷ 2 = 15
30 ÷ 15 = 2
3 x 10 = 30
5 x 6 = 30
3
10
5
6
30 ÷ 3 = 10
30 ÷ 10 = 3
30 ÷ 5 = 6
30 ÷ 6 = 5

6. 6
Let’s Try:
Give the factors of 26:
Factors:
1 x 26 = 26
2 x 13 = 26
1 26 2 13
Factors:
26 ÷1 = 26
26 ÷ 26 = 1
26 ÷ 2 = 13
26 ÷ 13 = 2

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Let’s Try:
Give the factors of the following. Write it in your
notebook:
1.) 15
2.) 22
= 1, 15, 3, 5
3.) 34
4.) 25
= 1, 22, 2, 11
= 1, 34, 2, 17
= 1, 25, 5

8. Prime
Factorization
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Prime Factorization – is finding the
prime factors of a number.
• The two methods used in prime
factorization are the factor tree
and the continuous division.
Remember:

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Factor Tree Method
1.Think of any factors of the given
number.
2.If the two factors are not yet
prime, write each of them as the
product of any 2 factors again, Keep
going until you have only prime
numbers.

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Example:
Find the prime factors of 40.
40
4 10
2 2 2 5
2, 2, 2 and 5 are all prime numbers. So, the
prime factors of 40 are 2 x 2 x 2 x 5 or 23 x
5.

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Example:
Find the prime factors of 27.
27
9
3
3 3
3, 3 and 3 are all prime numbers. So, the prime
factors of 27 are 3 x 3 x 3 or 33.

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Continuous Division Method
1.Think of the smallest prime factor
of the given number as the divisor.
2.Continue dividing by a prime factor
until the divisor is the same as the
dividend..

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Example:
Find the prime factors of 40.
2, 2, 2 and 5 are all prime numbers. So, the
prime factors of 40 are 2 x 2 x 2 x 5 or 23 x
5.
40
2
20
2
10
2
5
5
1

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Example:
Find the prime factors of 27.
27
3
9
3
3
3
1
3, 3 and 3 are all prime numbers. So, the prime
factors of 27 are 3 x 3 x 3 or 33.

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1. Answer page 101 Om Your Own,
Letter A

18. 18
1. Answer page 101
On your Own Letter B.

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All for Thee, my
Jesus
All for Thee, Amen.

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