Multiples of 46

Created by: Team Maths - Examples.com, Last Updated: May 29, 2024

Multiples of 46

Multiples of 46 refer to the numbers that result from multiplying 46 by integers. In mathematics, a multiple is a product of a given number and any integer. For instance, 46, 92, and 138 are all multiples of 46. Understanding multiples involves knowing their relationship with factors and divisors. Multiplication helps identify these multiples, making it easier to work with various mathematical problems involving integers and numbers.

What are Multiples of 46?

Multiples of 46 are numbers obtained by multiplying 46 with any integer. They form a sequence where each number is a product of 46 and a whole number. Examples include 46, 92, 138, and so on.

Prime Factorization of 46: 2 × 23 First 10 Multiples of 46 are 46, 92, 138, 184, 230, 276, 322, 368, 414, 460.

Table of 46

Important Notes

Definition

Multiples of 46 are numbers that can be expressed as 46 times any integer (e.g., 46, 92, 138).

Sequence

The sequence of multiples of 46 begins with: 46, 92, 138, 184, 230

This sequence continues infinitely by adding 46 repeatedly.

Divisibility

Any multiple of 46 is divisible by both 46 and its factors, such as: 1, 2, 23, 46

Calculation

To find the nth multiple of 46, multiply 46 by n. For example:

The 5th multiple of 46 is 46 x 5 = 230.

Patterns

Multiples of 46 follow a distinct pattern:

These numbers do not end in a specific digit pattern like multiples of 5 (which end in 0 or 5) but are evenly spaced by 46 in the number line.

Example Calculation:

• 1st multiple: 46 x 1 = 46
• 2nd multiple: 46 x 2 = 92
• 3rd multiple: 46 x 3 = 138
• 4th multiple: 46 x 4 = 184
• 5th multiple: 46 x 5 = 230

Examples on Multiples of 46

Simple Multiples

• 92: 46 × 2 = 92
• 138: 46 × 3 = 138
• 184: 46 × 4 = 184

Larger Multiples

• 460: 46 × 10 = 460
• 920: 46 × 20 = 920

Real-Life Examples

• Distance: If a runner completes 46 meters in one lap, 230 meters is a multiple of 46 because 46 × 5 = 230.
• Time: If a task takes 46 minutes to complete once, then in 368 minutes, the task can be done 8 times since 46 × 8 = 368.
• Money: If an item costs \$46, then buying 15 of them will cost \$690, because 46 × 15 = 690.

Practical Examples of Multiples of 46

What is the 12th multiple of 46?

The 12th multiple of 46 is 46 × 12 = 552.

Is 276 a multiple of 46?

Yes, 276 is a multiple of 46 because 46 × 6 = 276.

What is the next multiple of 46 after 322?

The next multiple of 46 after 322 is 368 because 46 × 7 = 322 + 46 = 368.

Find the 30th multiple of 46.

The 30th multiple of 46 is 46 × 30 = 1380.

Is 400 a multiple of 46?

No, 400 is not a multiple of 46 because there is no integer n such that 46 × n = 400.

What are the first five multiples of 46?

The first five multiples of 46 are 46, 92, 138, 184, and 230.

How do you determine if a number is a multiple of 46?

A number is a multiple of 46 if it can be divided by 46 without leaving a remainder. You can verify this by performing the division and checking if the remainder is zero.

What is a multiple of 46?

A multiple of 46 is any number that can be expressed as 46 times an integer. In other words, if you multiply 46 by any whole number (positive, negative, or zero), the result is a multiple of 46.

Are all multiples of 46 even numbers?

Yes, all multiples of 46 are even numbers because 46 itself is an even number. When an even number is multiplied by any integer, the result is always an even number.

Is 0 a multiple of 46?

Yes, 0 is a multiple of 46. Any number multiplied by 0 equals 0, so 46 × 0 = 0.

What is the 10th multiple of 46?

The 10th multiple of 46 is 460. This can be found by multiplying 46 by 10 (46 × 10 = 460).

Can multiples of 46 be negative?

Yes, multiples of 46 can be negative. For example, -46, -92, and -138 are all multiples of 46, found by multiplying 46 by -1, -2, and -3, respectively.

What is the least common multiple (LCM) of 46 and 92?

The least common multiple (LCM) of 46 and 92 is 92. Since 92 is a multiple of 46 (46 × 2), it is the smallest number that both 46 and 92 divide into without a remainder.

How do you find the nth multiple of 46?

To find the nth multiple of 46, multiply 46 by n. For example, the nth multiple is given by 46 × n.

Are multiples of 46 divisible by 2?

Yes, all multiples of 46 are divisible by 2 because 46 itself is divisible by 2. Hence, any multiple of 46 will also be divisible by 2.

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