Factors of 416 in pair are (1, 416) , (2, 208) , (4, 104) , (8, 52) , (13, 32) and (16, 26)

- Find all the numbers that would divide 416 without leaving any remainder. Starting with the number 1 upto 208 (half of 416). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 416, and read off the answer!

Factor Pair | Pair Factorization |
---|---|

1 and 416 | 1 x 416 = 416 |

2 and 208 | 2 x 208 = 416 |

4 and 104 | 4 x 104 = 416 |

8 and 52 | 8 x 52 = 416 |

13 and 32 | 13 x 32 = 416 |

16 and 26 | 16 x 26 = 416 |

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 416. They are called negative pair factors.

Hence, the negative pairs of 416 would be ( -1 , -416 ) .

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 416 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 32 , 52 , 104 , 208 , 416. So, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

- Each number is a factor of itself. Eg. 416 is a factor of itself.
- 1 is a factor of every number. Eg. 1 is a factor of 416.
- Every number is a factor of zero (0), since 416 x 0 = 0.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416 are exact divisors of 416.
- Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Each factor divides 416 without leaving a remainder.
- Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416 are all less than or equal to 416.

**Step 1.**Find all the numbers that would divide 416 without leaving any remainder. Starting with the number 1 upto 208 (half of 416). The number 1 and the number itself are always factors of the given number.416 ÷ 1 : Remainder = 0416 ÷ 2 : Remainder = 0416 ÷ 4 : Remainder = 0416 ÷ 8 : Remainder = 0416 ÷ 13 : Remainder = 0416 ÷ 16 : Remainder = 0416 ÷ 26 : Remainder = 0416 ÷ 32 : Remainder = 0416 ÷ 52 : Remainder = 0416 ÷ 104 : Remainder = 0416 ÷ 208 : Remainder = 0416 ÷ 416 : Remainder = 0

Hence, Factors of
*416* are **1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, and 416**

**Is 416 a composite number?**Yes 416 is a composite number.

**Is 416 a prime number?**No 416 is not a prime number.

**Is 416 a perfect square?**No 416 is not a perfect square.

**Write five multiples of 416.**Five multiples of 416 are 832, 1248, 1664, 2080, 2496.

**Write all odd factors of 416?**The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.

Odd factors of 416 are 1 , 13.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. So, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

Negative factors of 416 are -1, -2, -4, -8, -13, -16, -26, -32, -52, -104, -208, -416. Hence, factors of 416 in pair are (-1,-416), (-2,-208), (-4,-104), (-8,-52), (-13,-32), (-16,-26).

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Positive factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26). Negative factors of 416 in pair are (-1,-416), (-2,-208), (-4,-104), (-8,-52), (-13,-32), (-16,-26).

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. So the product of all factors of 416 would be 1 x 2 x 4 x 8 x 13 x 16 x 26 x 32 x 52 x 104 x 208 x 416 = 5182746699759616.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Prime factors are 2, 2, 2, 2, 2, 13. So, the product of all prime factors of 416 would be 2 x 2 x 2 x 2 x 2 x 13 = 416.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.

Factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

To arrange 416 blocks in all possible ways to form a rectangle, we need to calculate factors of 416 in pair. Therefore, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26)