Answer:
Answer: 3240 = 2^3×3^4×5
Factor the following integer:
3240
The last digit of 3240 is 0, which means it is even. Therefore 3240 is divisible by 2:
3240 = 2 1620:
3240 = 2×1620
The last digit of 1620 is 0, which means it is even. Therefore 1620 is divisible by 2:
1620 = 2 810:
3240 = 2×2×810
The last digit of 810 is 0, which means it is even. Therefore 810 is divisible by 2:
810 = 2 405:
3240 = 2×2×2×405
405 is not divisible by 2 since 405 is odd and 2 is even:
3240 = 2×2×2×405 (405 is not divisible by 2)
The sum of the digits of 405 is 4 + 0 + 5 = 9, which is divisible by 3. This means 405 is divisible by 3:
405 = 3 135:
3240 = 2×2×2×3×135 (135 is not divisible by 2 since 405 is not)
The sum of the digits of 135 is 1 + 3 + 5 = 9, which is divisible by 3. This means 135 is divisible by 3:
135 = 3 45:
3240 = 2×2×2×3×3×45 (45 is not divisible by 2 since 135 is not)
The sum of the digits of 45 is 4 + 5 = 9, which is divisible by 3. This means 45 is divisible by 3:
45 = 3 15:
3240 = 2×2×2×3×3×3×15 (15 is not divisible by 2 since 45 is not)
The sum of the digits of 15 is 1 + 5 = 6, which is divisible by 3. This means 15 is divisible by 3:
15 = 3 5:
3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 since 15 is not)
Divide 3 into 5:
| 1 | (quotient)
3 | 5 |
- | 3 |
| 2 | (remainder)
5 is not divisible by 3:
3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 or 3)
No primes less than 5 divide into it. Therefore 5 is prime:
3240 = 2×2×2×3×3×3×3×5
There are 3 copies of 2, 4 copies of 3 and 1 copy of 5 in the product:
Answer: 3240 = 2^3×3^4×5
