Factors that 70 room the perform of integers that us can split evenly right into 70. There are 8 components of 70, which room 1, 2, 5, 7, 10, 14, 35, and 70. Here, 70 is the biggest factor. The amount of all determinants of 70 is 144. The Prime determinants are 1, 2, 5, 7, 10, 14, 35, 70 and also (1, 70), (2, 35), (5, 14) and also (7, 10) room Pair Factors.

You are watching: 70 as a product of prime factors

Factors that 70: 1, 2, 5, 7, 10, 14, 35 and 70Negative factors of 70: -1, -2, -5, -7, -10, -14, -35 and -70Prime components of 70: 2, 5, 7Prime administer of 70: 2 × 5 × 7 = 2 × 5 × 7Sum of components of 70: 144
1.What are the factors of 70?
2.How to calculation the factors of 70?
3.Factors of 70 by prime Factorization
4. Factors the 70 in Pairs
5.Important Notes
6.FAQs on components of 70

What room the factors of 70?

Factors that a numbernare the number that completely dividethe number n. It means thatif the remainder is 0 when n is divided by a, then ais a factor of n.

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We are talking around factors that the number 70. Let's an initial see the numbers thatcompletely divide 70.The numbers that division 70 totally are 1, 2,5, 7, 10, 14, 35, and also 70.

How to calculation the components of 70?

Factors of any type of number ncan it is in calculated by numerous methods;one the the techniques is splitting the number by the smallest of the factors.Factors that number 70 can be calculated as follows:

Step 1: create the the smallest two factors of 70 (except for 1). The the smallest two determinants of 70 room 2 and 5.Step 2: divide 70 by 2 and 5.70/2 = 35and 70/5= 14So, 2, 5, 14, and also 35are the components of 70.Step 3: currently take the nextfactorof 70.The nextfactorof 70 is7.Divide 70 by 7.70/7= 10So, 2,5, 7, 10, 14,and 35are the components of 70.Step 4: encompass 1 and also the number itself to the factors.

Hence, the factors of 70are 1, 2, 5, 7, 10, 14, 35, and70.

To recognize the principle of finding factors by prime factorization better, let united state take a couple of more examples.

Factors of 70 by prime Factorization

The element factorization an approach to calculate factors of any kind of number is among the most necessary methods.Many students choose using element factorization when performing calculations. In the prime factorization method, we can only factorize a number right into its prime factors. Prime numbers space the numbers that haveonly 2 factors, 1 and the number itself.

For example,2, 3, 5, 7, 11, 13, and so on.

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Prime components of 70 space 2, 5, and also 7.

70 = 2 × 5× 7

Let's compose all the factors of 70 utilizing prime factors

Step 1: take the prime determinants of 70: 2, 5, and 7.Step 2: multiply the prime components of 70, taking two at a time.2 × 5= 102 × 7 = 145 × 7 = 35Factors obtained are 10, 14, and 35.Step 3: compose all the components of the number 70.1, 2, 5, 7, 10, 14, 35, 70Now the we have actually done the prime factorization of our number, we can multiply them and get the other factors. Deserve to you try and find out if every the components are extended or not?And together you could have currently guessed, for prime numbers, there room no various other factors.

Factors the 70 in Pairs

Pair factors of number n are the collection of 2 numbers whichwhen multiplied together givethe number n.

Factors the 70 are: 1, 2, 5, 7, 10, 14, 35, 70Factors the 70 in bag are: (1, 70), (2, 35), (5, 14), (7, 10)

1 × 70 = 702 × 35= 705× 14 = 707 × 10= 70

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Pairs the negativefactors the 70are: (-1, -70), (-2, -35), (-5, -14), (-7, -10)

-1 × -70 = 70-2 × -35= 70-5× -14 = 70-7 × -10= 70

Important Notes:

Every number contends least two factors, i.e., 1 and also the number itself.There room no factors of a number nbetween (n, n/2).Numbers that havemore than 2 determinants are calledcomposite numbers.

Challenging Questions:

Find the greatest variety of 4 digits and the least variety of 5 digits that have actually as your G.C.F. As 70.A duty f(x) = x2 +bx + 5has a element (x -1).Find the worth of b.

Example 1: Sam desires to emptytwobuckets full of waterwith capacitiesof 140liters and also 70liters.He needs to empty the buckets through the assist of a glass.What volume of glass need to he pick so that no water stays in any kind of ofthe buckets.

Solution:

Given:

The capacity of one bucket = 140 litersThe capacity of the otherbucket = 70liters

To discover the capacity of glass we must calculate the HCF (Highest usual Factor) of 70and 140.

70 = 1 × 2 × 5× 7140 = 1 × 2 ×2× 5× 7

HCF the 70and 140= 2 × 5× 7= 70Hence,Sam will use a glass of capacity 70liters.


Example 2: John wants to discover the typical factors the 70, 420, and also 560.

Solution:

Factors of 70are1, 2, 5, 7, 10, 14, 35, 70Factors the 420 are1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420Factors the 560 room 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Hence, the common factors that 70, 420, and 560 are 1, 2, 5, 7, 10, 35, and 70.


Example 3: Julia wants to add a number to6 so that itbecomes a variable of 70. What numbers canshe add?

Solution:

Let's intend she adds xto 6

So (x + 6) is a aspect of 70.Let's compose down every the components of 70 higher than 6:

7, 10, 14, 35, 70

x + 6 = 7x + 6 = 10x + 6 = 14x + 6 = 35x + 6 = 70

Hence, Julia can include 1, 4, 8, 29, or 64 to 6 to gain a variable of 70.


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FAQs on determinants of 70

What room the components of 70?

The factors of 70 room 1, 2, 5, 7, 10, 14, 35, 70 and its an unfavorable factors room -1, -2, -5, -7, -10, -14, -35, -70.

What space the Prime determinants of 70?

The prime factors of 70 are 2, 5, 7.

What is the Greatest common Factor of 70 and 47?

The components of 70 space 1, 2, 5, 7, 10, 14, 35, 70 and the determinants of 47 space 1, 47. 70 and 47 have actually only one usual factor which is 1. This implies that 70 and 47 are co-prime.Hence, the Greatest typical Factor (GCF) that 70 and also 47 is 1.

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What is the sum of the determinants of 70?

Sum of all factors of 70 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) = 144

What space the typical Factors of 70 and 15?

Since, the factors of 70 room 1, 2, 5, 7, 10, 14, 35, 70 and the determinants of 15 room 1, 3, 5, 15.Hence, <1, 5> are the usual factors of 70 and 15.