Factors the 42 space the list of positive and negative whole number that have the right to be divided evenly into 42. Negative factors of 42 space just components with a an adverse sign. The number 42 is far-reaching and is an also composite number which way that it has several factors, in this case, 42 has actually 8 factors. In this lesson, we will certainly calculate the factors of 42, its prime factors, and also its components in pairs. We will certainly also shot a few solved instances to know this topic better.

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**Factors that 42:**1, 2, 3, 6, 7, 14, 21, and 42

**Factors the -42:**-1, -2, -3, -6, -7, -14, -21 and -42

**Prime administrate of 42:**42 = 2 × 3 × 7

1. | What are factors of 42? |

2. | How come Calculate determinants of 42? |

3. | Factors the 42 by prime Factorization |

## What are components of 42?

Factors that a number are the number which division the offered number exactly without leaving any type of remainder. **Factors the 42** room 1, 2, 3, 6, 7, 14, 21 and 42.

## How to calculate the factors of 42?

We have the right to use different methods like prime factorization and the department method to calculate the components of 42. In prime factorization, us express 42 as the product of its **prime factors** and in the division method, we look for numbers that divide 42 specifically without a remainder.

## Factors the 42 by element Factorization

Prime factorization method expressing a number in terms of the product that its element factors. We can do this utilizing the division method or by making use of a factor tree.

**Prime administrate by Division:**

**Step 1:**The number 42 is separated by the smallest prime number i beg your pardon divides 42 exactly, i.e. It leaves a remainder 0.

**Step 2:**The quotient is then divided by the the smallest or 2nd smallest element number and the process continues it spins the quotient cannot be further divided.

**Step 3:**Let us divide 42 by the prime number 2 i.e 42 ÷ 2 = 21.

**Step 4:**Now we must divide the quotient 21 by the next the very least prime number.

**Step 5:**Since 21 is one odd number, it is no divisible through 2. Permit us try dividing it by 3 i beg your pardon is 21 ÷ 3 = 7.

**Step 6:**7 is a prime number and we cannot divide it further.

**Step 7:**Therefore, the prime components of 42 room 2, 3, and 7.

**Prime factorization of 42** = 2 × 3 × 7

**Prime factorization by element Tree**

Since we are finding the prime factors of 42, they will certainly be put as the roots of our aspect tree. Next, we write a pair of factors (two numbers, as soon as multiplied, offer 42) as branches.

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

42 = 2 × 3 × 7Viola! We have actually done the** element factorization**. Below is a basic activity to shot on your own. Rather of 2 × 21, if we had actually used 6 × 7, do you think we would acquire the exact same factors? deserve to you attract the element tree through 6 and 7 as the branches?

**Prime administrate by Upside-Down Division**

This method is referred to as the upside-down division because the division symbol is flipped upside down. In this method, we division 42 by the smallest prime number 2 (if the number is odd, we begin with 3). 7 is a element number. It is divisible just by 7. We avoid the division when we reach 1.

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

**Think Tank:**

## Factors the 42 in Pairs

Factor pairs are the 2 numbers which, as soon as multiplied, give the number 42.

1 × 42 = 422 × 21 = 423 × 14 = 426 × 7 = 42Therefore, the pair determinants of 42 are (1,42), (2,21), (3,14), and also (6,7). Because the product the two an unfavorable numbers is positive, i.e. (-) × (-) = (+), the factor pairs the 42 likewise include (-1,-42), (-2,-21), (-3,-14), and (-6,-7). Yet let us focus on the positive components in this lesson.

We divide 42 by organic numbers and also see which numbers leave a remainder 0. The number which divide 42 precisely without any remainder are the factors of 42.

**Division technique to Find factors of 42:**

We see that once 42 is split by 1, 2, 3, 6, 7, 14, 21, and 42, it leaves no remainder. Hence, they are factors of 42.

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**Important Notes:**