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

You are watching: What are all the factors of 70

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

What are the determinants of 70?

Factors that a numbernare the number that totally dividethe number n. It means thatif the remainder is 0 as soon as n is split by a, then ais a factor of n.

*

We space talking about factors the the number 70. Let's first see the number thatcompletely division 70.The numbers that divide 70 fully are 1, 2,5, 7, 10, 14, 35, and also 70.

How to calculate the determinants of 70?

Factors of any kind of number ncan it is in calculated by many methods;one of the methods is splitting the number by the smallest of the factors.Factors of number 70 deserve to be calculated together follows:

Step 1: create the the smallest two factors of 70 (except because that 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 35are the factors of 70.Step 3: now 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: include 1 and the number itself to the factors.

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

To know the ide of finding determinants by prime factorization better, let united state take a couple of more examples.

Factors that 70 by prime Factorization

The element factorization method to calculate factors of any number is just one of the most vital methods.Many students choose using element factorization when performing calculations. In the prime factorization method, we have the right to only factorize a number right into its prime factors. Element numbers room the numbers the haveonly 2 factors, 1 and also the number itself.

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

*

Prime factors of 70 room 2, 5, and also 7.

70 = 2 × 5× 7

Let's create all the components of 70 using prime factors

Step 1: take the prime factors of 70: 2, 5, and 7.Step 2: multiply the prime factors of 70, taking 2 at a time.2 × 5= 102 × 7 = 145 × 7 = 35Factors acquired are 10, 14, and also 35.Step 3: create all the determinants of the number 70.1, 2, 5, 7, 10, 14, 35, 70Now that we have actually done the element factorization of our number, we have the right to multiply them and get the other factors. Deserve to you try and find out if every the determinants are extended or not?And as you could have currently guessed, because that prime numbers, there space no other factors.

Factors the 70 in Pairs

Pair factors of number n space the collection of 2 numbers whichwhen multiplied with each other givethe number n.

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

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

*

Pairs that 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 space no components of a number nbetween (n, n/2).Numbers the havemore 보다 2 factors are calledcomposite numbers.

Challenging Questions:

Find the greatest variety of 4 digits and also the least number of 5 digits that have as their G.C.F. As 70.A role f(x) = x2 +bx + 5has a factor (x -1).Find the value of b.

Example 1: Sam wants to emptytwobuckets complete of waterwith capacitiesof 140liters and 70liters.He requirements to north the buckets v the aid of a glass.What volume of glass have to he pick so that no water stays in any ofthe buckets.

Solution:

Given:

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

To uncover the volume of glass we have to calculate the HCF (Highest usual Factor) the 70and 140.

70 = 1 × 2 × 5× 7140 = 1 × 2 ×2× 5× 7

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


Example 2: John wants to uncover the usual factors that 70, 420, and also 560.

Solution:

Factors the 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 of 70, 420, and also 560 space 1, 2, 5, 7, 10, 35, and also 70.


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

Solution:

Let's intend she add to xto 6

So (x + 6) is a factor of 70.Let's write down all 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 add 1, 4, 8, 29, or 64 come 6 to acquire a factor of 70.


*


FAQs on determinants of 70

What space the components of 70?

The factors of 70 space 1, 2, 5, 7, 10, 14, 35, 70 and also its negative factors room -1, -2, -5, -7, -10, -14, -35, -70.

What space the Prime determinants of 70?

The prime components of 70 space 2, 5, 7.

What is the Greatest common Factor of 70 and also 47?

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

See more: Accu-Chek E-9 - What Is E 9 On Accu

What is the sum of the factors of 70?

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

What room the usual Factors of 70 and 15?

Since, the components of 70 are 1, 2, 5, 7, 10, 14, 35, 70 and also the factors of 15 room 1, 3, 5, 15.Hence, <1, 5> space the typical factors that 70 and also 15.