Whats The Factor Of 25

Factors of 25

Factors of 25 are the listing of integers that we can split up evenly into 25. There are overall 3 factors of 25 among which 25 is the biggest factor and i, v, and 25 are positive factors. The sum of all factors of 25 is 31. Its Prime number Factors are 1, 5, 25, and (ane, 25) and (5, 5) are Pair Factors.

Factors of 25: i, 5 and 25
Negative Factors of 25: -1, -five and -25
Prime Factors of 25: five
Prime Factorization of 25: v × 5 = 5²
Sum of Factors of 25: 31

one.	What are Factors of 25?
2.	How to Calculate Factors of 25?
iii.	Factors of 25 past Prime number Factorization
four.	Thinking Out of The Box!
v.	Factors of 25 in Pairs
6.	Important Notes
7.	FAQs on Factors of 25

What are Factors of 25?

Factors of 25 are all the numbers which, on multiplying, give the value 25. Every bit 25 is odd, information technology will non take 2 or whatsoever multiples of 2 as its gene. To understand why information technology is composite, permit'due south recall the definition of a blended number. A number is said to be composite if it has more than two factors. In this case, 25 has a full of three factors i.due east. 1, v, and 25.

How to Calculate the Factors of 25?

To calculate the factors of any number, here in this case 25, we demand to detect all the numbers that would divide 25 without leaving any residuum. Nosotros start with the number 1, then cheque for numbers 2, 3, 4, 5, half-dozen, seven, etc. up to 25 respectively. The number ane and the number itself would always be a factor of the given number.

Refer to the following table to check the segmentation of 25 by its factors:

Division	Factor
25/1	Residual = 0 Cistron = i
25/5	Remainder = 0 Factor = 5
25/25	Remainder = 0 Factor = 25

Hence, factors of 25 are 1, 5, and 25. Explore factors using illustrations and interactive examples:

Factors of 125- The factors of 125 are one, 5, 25, 125
Factors of 225- The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225
Factors of 256 - The factors of 256 are 1, ii, 4, 8, 16, 32, 64, 128, and 256
Factors of 625 - The factors of 625 are 1, 5, 25, 125, and 625
Factors of 250 - The factors of 250 are 1, 2, 5, ten, 25, l, 125, and 250

Factors of 25 by Prime Factorization

Prime factorization ways expressing a composite number as the product of its prime factors. To get the prime number factorization of 25, we divide it past its smallest prime number factor, which is 5.

25 ÷ 5 = five

Now carve up 5 past its smallest prime gene and proceed this process till we get the quotient as 1. The prime number factorization of 25 is shown beneath:

Prime factorization of 25

So, the prime factorization of 25 is:

5 × 5 = 25 or 25 = 5²

And then the number 25 can exist chosen a perfect square. The factors of 25 are 1, v, and 25. (The only prime cistron is v.)

Think Tank:

Make up one's mind a number other than 25, which has only three factors and is a perfect square.
Determine the common factors of 25 and 50.

Factors of 25 in Pairs

Let'southward write factors of 25 in pairs. The pair factors of 25 can be given as below:

(1, 25) ; (5, 5)

These factors given above are positive pair factors. Information technology is possible to take negative pair factors as well because the product of ii negative numbers is also a positive number. Let's accept a look at negative pair factors:

(-1, -25) ; (-five, -five)

Important Notes:

As 25 is an odd number, all of its factors will as well be odd.
25 is a perfect square number.
Factors are never fractions or decimals

Factors of 25 Solved Examples

Example one:

Mr. William plans for an interactive activity for the children of his class on the occasion of Christmas.

There are 25 children in all. He wants to put them in small groups having equal numbers so that no kid is left. In how many means can he conform them?

Solution:

The factors of 25 are 1, v, and 25. And so the children can be arranged only in one fashion.

That is 5 children in each group and five groups in all.
Example two:

Silvia takes out a set of 25 soup bowls to be stacked on the dining table. In how many ways can she stack them?

Solution:

To solve this trouble, we need to know the factors of 25. List them out: i, 5, and 25, therefore the factor pairs are: (1,25), (5,5).

The first pair, 1 and 25, doesn't tell united states much. It only means that we could have 1 stack of 25 soup bowls.

The 2d pair tells united states of america we could have 5 stacks of five soup bowls.
Example three: Kevin was asked to find the factors of 25 and 30. What will be his respond?

Solution:

Factors of 25 are 1, 5, and 25. Similarly, the factors of 30 are 1, 2, iii, v, 6, 10, 15, and 3
Example four: Few numbers were given to Sam and he was asked to discover the number which is not a factor of 25. Help Sam detect that number.

1, 5, 6, eight, nine, 25

Solution:

The factors of 25 are 1, 5, and 25 but when we divide 25 by 6, 8, and 9, it leaves a reminder.

Therefore 1, v, and 25 are factors of 25 just 6, 8, and nine are not the factors of 25.

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FAQs on Factors of 25

What are the Factors of 25?

The factors of 25 are 1, 5, 25 and its negative factors are -1, -5, -25.

What Numbers Are the Prime Factors of 25?

The prime factor of 25 is 5.

What is the Sum of the Factors of 25?

All the Factors of 25 are one, v, 25 and therefore the sum of all these factors is 1 + five + 25 = 31

How Many Factors of 25 are likewise Factors of nine?

Since, the factors of 25 are one, v, 25, and factors of 9 are i, 3, 9. Hence, 25 and 9 have only one common gene which is 1. Therefore, 25 and ix are co-prime.

What is the Greatest Common Factor of 25 and 14?

The factors of 25 are i, 5, 25 and the factors of 14 are 1, 2, seven, 14. 25 and fourteen have just one common cistron which is 1. This implies that 25 and fourteen are co-prime.

Hence, the Greatest Common Factor (GCF) of 25 and fourteen is one.