Factors of 1250
Factors of 1250 are numbers that, when multiplied in pairs give the product as 1250. There are total 10 factors of 1250, of which 2, 5 are its prime factors. The Prime Factorization of 1250 is 21 × 54.
- All Factors of 1250: 1, 2, 5, 10, 25, 50, 125, 250, 625 and 1250
- Negative Factors of 1250: -1, -2, -5, -10, -25, -50, -125, -250, -625 and -1250
- Prime Factors of 1250: 2, 5
- Prime Factorization of 1250: 21 × 54
- Sum of Factors of 1250: 2343
1. | What Are the Factors of 1250? |
2. | Factors of 1250 by Prime Factorization |
3. | Factors of 1250 in Pairs |
4. | FAQs on Factors of 1250 |
What are Factors of 1250?
Factors of 1250 are pairs of those numbers whose products result in 1250. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1250?
To find the factors of 1250, we will have to find the list of numbers that would divide 1250 without leaving any remainder.
- 1250/1250 = 1; therefore, 1250 is a factor of 1250.
- 1250/625 = 2; therefore, 625 is a factor of 1250.
☛ Also Check:
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 1250 by Prime Factorization
- 1250 ÷ 2 = 625
Further dividing 625 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 625 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 1250 can be written as 21 × 54 where 2, 5 are prime.
Factors of 1250 in Pairs
Pair factors of 1250 are the pairs of numbers that when multiplied give the product 1250. The factors of 1250 in pairs are:
- 1 × 1250 = (1, 1250)
- 2 × 625 = (2, 625)
- 5 × 250 = (5, 250)
- 10 × 125 = (10, 125)
- 25 × 50 = (25, 50)
Negative pair factors of 1250 are:
- -1 × -1250 = (-1, -1250)
- -2 × -625 = (-2, -625)
- -5 × -250 = (-5, -250)
- -10 × -125 = (-10, -125)
- -25 × -50 = (-25, -50)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1250 Solved Examples
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Example 1: How many factors are there for 1250?
Solution:
The factors of 1250 are too many, therefore if we can find the prime factorization of 1250, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 1250 = 21 × 54
Therefore, the total number of factors are (1 + 1) × (4 + 1) = 2 × 5 = 10 -
Example 2: Find the LCM and Highest Common Factor (HCF) of 1250 and 474.
Solution:
The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250 and factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474.
Therefore, the LCM of 1250 and 474 is 296250 and Highest Common Factor (HCF) of 1250 and 474 is 2. -
Example 3: Find if 2, 5, 10, 125, 250 and 720 are factors of 1250.
Solution:
When we divide 1250 by 720 it leaves a remainder. Therefore, the number 720 is not a factor of 1250. All numbers except 720 are factors of 1250.
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Example 4: Find the product of all the prime factors of 1250.
Solution:
Since, the prime factors of 1250 are 2, 5. Therefore, the product of prime factors = 2 × 5 = 10.
FAQs on Factors of 1250
What are the Factors of 1250?
The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250 and its negative factors are -1, -2, -5, -10, -25, -50, -125, -250, -625, -1250.
What is the Sum of all the Factors of 1250?
Sum of all factors of 1250 = (21 + 1 - 1)/(2 - 1) × (54 + 1 - 1)/(5 - 1) = 2343
What are Prime Factors of 1250?
The prime factors of 1250 are 2, 5.
What is the Greatest Common Factor of 1250 and 598?
The factors of 1250 and 598 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250 and 1, 2, 13, 23, 26, 46, 299, 598 respectively.
Common factors of 1250 and 598 are [1, 2].
Hence, the Greatest Common Factor of 1250 and 598 is 2.
How Many Factors of 1250 are also common to the Factors of 359?
Since, the factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250 and factors of 359 are 1, 359. Hence, 1250 and 359 have only one common factor which is 1. Therefore, 1250 and 359 are co-prime.
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