|
|
|
Factors of a Number |
|
|
|
|
|
|
|
|
Solution
|
Solution provided by AtoZmath.com
|
|
|
|
Factors of a Number
|
1. All possible factor of the given number
Find All factors of 456
Solution:
| 456 | ÷ | 1 | = | 456, | 1 and 456 are factors of 456 | | 456 | ÷ | 2 | = | 228, | 2 and 228 are factors of 456 | | 456 | ÷ | 3 | = | 152, | 3 and 152 are factors of 456 | | 456 | ÷ | 4 | = | 114, | 4 and 114 are factors of 456 | | 456 | ÷ | 6 | = | 76, | 6 and 76 are factors of 456 | | 456 | ÷ | 8 | = | 57, | 8 and 57 are factors of 456 | | 456 | ÷ | 12 | = | 38, | 12 and 38 are factors of 456 | | 456 | ÷ | 19 | = | 24, | 19 and 24 are factors of 456 | | 456 | ÷ | 24 | = | 19, | 24 and 19 are factors of 456 |
Stop here, since 24 and 19 are already factors of 456
All factors of 456 is as follows...
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2. All prime factor of the given number
Find Prime factors of 456
Solution:
Or
456
= 2 × 228
= 2 × 2 × 114
= 2 × 2 × 2 × 57
= 2 × 2 × 2 × 3 × 19
Or
Prime factors in exponential form
= 23 × 31 × 191
Or
Prime factorization tree
| 456 | | | | | | / \ | | | | | | 2 | 228 | | | | | | / \ | | | | | 2 | 114 | | | | | | / \ | | | | | 2 | 57 | | | | | | / \ | | | | | 3 | 19 |
|
|
|
|
|
|
