Factors of 1225 are the list of integers that we have the right to separation evenly right into 1225. Tright here are full 9 factors of 1225 i.e. 1, 5, 7, 25, 35, 49, 175, 245, 1225. The sum of all factors of 1225 is 1767 and its components in Pairs are (1, 1225), (5, 245), (7, 175), (25, 49), (35, 35).

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All Factors of 1225: 1, 5, 7, 25, 35, 49, 175, 245 and also 1225 Negative Factors of 1225: -1, -5, -7, -25, -35, -49, -175, -245 and also -1225 Prime Factors of 1225: 5, 7 Prime Factorization of 1225: 52 × 72 Sum of Factors of 1225: 1767
1.What Are the Factors of 1225?
2.Factors of 1225 by Prime Factorization
3.Factors of 1225 in Pairs
4.FAQs on Factors of 1225
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What are Factors of 1225?


Factors of 1225 are pairs of those numbers whose assets cause 1225. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1225?

To find the components of 1225, we will have to find the list of numbers that would certainly divide 1225 without leaving any remainder.

1225/1225 = 1; therefore, 1225 is a element of 1225.1225/245 = 5; therefore, 245 is a variable of 1225. Similarly we have the right to discover other components. Hence, the determinants of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225.

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Factors of 1225 by Prime Factorization


The number 1225 is composite and also therefore it will have prime factors. Now let us learn just how to calculate the prime determinants of 1225. The first action is to divide the number 1225 via the smallest prime variable, right here it is 5. We keep separating till it gives a non-zero remainder. 1225 ÷ 5 = 245 245 ÷ 5 = 49

More dividing 49 by 5 gives a non-zero remainder. So we stop the process and proceed separating the number 49 by the following smallest prime variable. We soptimal inevitably if the next prime element does not exist or once we can"t divide any kind of further.

So, the prime factorization of 1225 deserve to be composed as 52 × 72 wbelow 5, 7 are prime.


Factors of 1225 in Pairs


Pair determinants of 1225 are the pairs of numbers that once multiplied provide the product 1225. The factors of 1225 in pairs are:

1 × 1225 = (1, 1225) 5 × 245 = (5, 245) 7 × 175 = (7, 175) 25 × 49 = (25, 49) 35 × 35 = (35, 35)

Negative pair components of 1225 are:

-1 × -1225 = (-1, -1225) -5 × -245 = (-5, -245) -7 × -175 = (-7, -175) -25 × -49 = (-25, -49) -35 × -35 = (-35, -35)

NOTE: If (a, b) is a pair aspect of a number then (b, a) is also a pair element of that number.


Factors of 1225 Solved Examples


Example 1: How many type of factors are there for 1225?

Solution:

The factors of 1225 are also many, therefore if we have the right to find the prime factorization of 1225, then the total variety of determinants have the right to be calculated using the formula displayed listed below. If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total variety of components can be given by (x + 1)(y + 1)(z + 1). Prime Factorization of 1225 = 52 × 72 Because of this, the complete number of components are (2 + 1) × (2 + 1) = 3 × 3 = 9


Example 3: Find if 1, 7, 35, 400 and 1225 are determinants of 1225.

Solution:

When we divide 1225 by 400 it leaves a remainder. As such, the number 400 is not a element of 1225. All numbers except 400 are determinants of 1225.


Example 4: Find the product of all the prime components of 1225.

See more: What Does The Name Fay Mean Ing And Origin Of Fay, Fay (Surname)

Solution:

Due to the fact that, the prime components of 1225 are 5, 7. As such, the product of prime determinants = 5 × 7 = 35.


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FAQs on Factors of 1225


What are the Factors of 1225?

The components of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225 and also its negative determinants are -1, -5, -7, -25, -35, -49, -175, -245, -1225.

What is the Sum of Factors of 1225?

Sum of all components of 1225 = (52 + 1 - 1)/(5 - 1) × (72 + 1 - 1)/(7 - 1) = 1767

What are the Pair Factors of 1225?

The pair determinants of 1225 are (1, 1225), (5, 245), (7, 175), (25, 49), (35, 35).

What is the Greatest Common Factor of 1225 and also 839?

The components of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225 and the determinants of 839 are 1, 839. 1225 and also 839 have only one prevalent variable which is 1. This suggests that 1225 and 839 are co-prime. Hence, the Greatest Common Factor (GCF) of 1225 and also 839 is 1.

How Many Factors of 1225 are also common to the Factors of 264?

Because, the factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225 and also components of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. Hence, 1225 and 264 have just one common factor which is 1. Because of this, 1225 and 264 are co-prime.