Factors the 42 are the perform of optimistic and an adverse whole numbers that can be split evenly into 42. An adverse factors the 42 space just components with a an unfavorable sign. The number 42 is significant and is an also composite number which means that it has actually several factors, in this case, 42 has actually 8 factors. In this lesson, we will calculate the components of 42, its prime factors, and also its components in pairs. We will also shot a couple of solved examples to understand this object better.

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Factors of 42: 1, 2, 3, 6, 7, 14, 21, and also 42Factors of -42: -1, -2, -3, -6, -7, -14, -21 and -42Prime factorization of 42: 42 = 2 × 3 × 7
1.What are factors of 42?
2.How come Calculate factors of 42?
3.Factors that 42 by prime Factorization

What are determinants of 42?

Factors the a number space the numbers which divide the offered number specifically without leaving any remainder. Factors that 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

How to calculation the factors of 42?

We deserve to use various methods favor prime factorization and the division method to calculation the factors of 42. In prime factorization, us express 42 as the product the its prime factors and also in the division method, us look because that numbers that divide 42 exactly without a remainder.


Factors of 42 by prime Factorization


Prime factorization means expressing a number in terms of the product that its element factors. We deserve to do this making use of the department method or by making use of a variable tree.

Prime administrate by Division:

Step 1: The number 42 is divided by the smallest prime number i beg your pardon divides 42 exactly, i.e. It pipeline a remainder 0.Step 2: The quotient is then divided by the smallest or 2nd smallest prime number and also the procedure continues it rotates the quotient cannot be additional divided.Step 3: Let united state divide 42 by the prime number 2 i.e 42 ÷ 2 = 21.Step 4: Now we should divide the quotient 21 by the next least prime number.Step 5: Since 21 is one odd number, that is no divisible through 2. Allow us shot dividing it by 3 which is 21 ÷ 3 = 7.Step 6: 7 is a prime number and we cannot divide it further.Step 7: Therefore, the prime determinants of 42 are 2, 3, and also 7.

Prime factorization of 42 = 2 × 3 × 7

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Prime factorization by variable Tree

Since we room finding the prime determinants of 42, they will certainly be placed as the root of our variable tree. Next, we compose a pair of factors (two numbers, as soon as multiplied, give 42) together branches.

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3 and also 7 are prime numbers and at this point, the aspect tree ends. Let united state express 42 in terms of the product that its element factors.

42 = 2 × 3 × 7

Viola! We have done the element factorization. Right here is a straightforward activity to shot on her own. Instead of 2 × 21, if we had actually used 6 × 7, do you think we would acquire the very same factors? can you draw the aspect tree through 6 and also 7 together the branches?

Prime administer by Upside-Down Division

This an approach is dubbed the upside-down division because the division symbol is flipped upside down. In this method, we divide 42 by the the smallest prime number 2 (if the number is odd, we start with 3). 7 is a prime number. The is divisible only by 7. We stop the division when we reach 1.

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Therefore, 42 have the right to be expressed as a product of its prime factors as 2 × 3 × 7. Discover factors making use of illustrations and interactive examples:

Think Tank:

8 × 21 ÷ 4 = 42, go this median 8 and 21 ÷ 4 are components of 42? Think!10.5 × 4 = 42, space 10.5 and also 4 components of 42?Can a number greater than 42 be its factor?

Factors that 42 in Pairs

Factor pairs room the 2 numbers which, as soon as multiplied, offer the number 42.

1 × 42 = 422 × 21 = 423 × 14 = 426 × 7 = 42

Therefore, the pair components of 42 room (1,42), (2,21), (3,14), and also (6,7). Due to the fact that the product that two an unfavorable numbers is positive, i.e. (-) × (-) = (+), the element pairs the 42 likewise include (-1,-42), (-2,-21), (-3,-14), and also (-6,-7). Yet let us focus on the positive components in this lesson.

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We division 42 by natural numbers and also see i m sorry numbers leaving a remainder 0. The number which division 42 precisely without any remainder space the factors of 42.

Division technique to Find factors of 42:

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We check out that when 42 is separated by 1, 2, 3, 6, 7, 14, 21, and 42, it pipeline no remainder. Hence, lock are determinants of 42.

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Important Notes:

The number which we multiply to get 42 room the determinants of 42.Factors the 42 room 1, 2, 3, 6, 7, 14, 21, and 42.1 is a universal factor. It is a aspect of all numbers. The number chin is a variable of the number as it divides chin exactly.Factor pairs room the pairs of 2 numbers which, once multiplied, give the number. Element pairs of 42 space (1, 42), (2, 21), (3,14), and also (6,7).