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# Factors of 112 | Prime Factors of 112

Factors of 112 are those numbers that, when multiplied together, give the result 112. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. To find the factors of 112, we will use the division Method here.

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## What are the factors of 112?

The method of calculating the factors of 112 is as follows. First, every number is divisible by itself and 1.
Therefore, the factors of 112 are 1, …
We can find all factors of a number by dividing it by 1, 2, 3, 4…

(i) 112 ÷ 1 = 112, Gives remainder 0 and so are divisible by 112. So please put it on your factor list.

1, …….. 112

(ii) 112 ÷ 2 = 56, gives remainder 0 and so are divisible by 56. So please put it on your factor list.

1, 2…….. 56, 112

(iii) 112 ÷ 3 = 37.33, gives remainder 37.33, not being thoroughly divided. So we will not write three on the list.

(iv) 112 ÷ 4 = 28, gives remainder 0 and so are divisible by 28. So please put it on your factor list.

1, 2, 4……..28, 56, 112

(v) 112 ÷ 5 = 22.4, gives remainder 22.4, not being thoroughly divided. So we will not write five on the list.

(vi) 112 ÷ 6 = 18.66, gives remainder 18.66, not being thoroughly divided. So we will not write six on the list.

(vii) 112 ÷ 7 = 16, gives remainder 0 and so are divisible by 16. So please put it on your factor list.

1, 2, 4, 7……..16, 28, 56, 112

(viii) 112 ÷ 8 = 14, gives remainder 0 and so are divisible by 14. So please put it on your factor list.

1, 2, 4, 7, 8……..14, 16, 28, 56, 112

(ix) 112 ÷ 9 = 12.44, gives remainder 12.44, not being completely divided.So we will not write nine on the list.

(xi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 are factor of 112.

What are the factors of 112?
Answer: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

### Factors of – 112

As – 8 and – 14 are negative factors, you get a positive number by multiplying two negatives, like (- 8) × (- 14) = 112.

The factors of – 112
Answer: – 1, – 2, – 4, – 7, – 8, – 14, – 16, – 28, – 56, – 112

### All factors of 112

Here is a list of all the positive and negative factors of 112 in numerical order.

So – 1, – 2, – 4, – 7, – 8, – 14, – 16, – 28, – 56, – 112 are all factors of 112.

List all the factors of 112
Answer: – 1, – 2, – 4, – 7, – 8, – 14, – 16, – 28, – 56, – 112, 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

### Factor of 112 in pairs

1 x 112 = 112
2 x 56 = 112
4 x 28 = 112
7 x 16 = 112
8 x 14 = 112

So, (1, 112), (2, 56), (4, 28), (7, 16), (8, 14) are factor pair of 112

What are the factor pairs of 112?
Answer: (1, 112), (2, 56), (4, 28), (7, 16), (8, 14)

### Prime Factors of 112

112 ÷ 2 = 56
56 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

Prime factorization of 112
Answer: 2 x 2 x 2 x 3 x 3

### Factor tree of 112

``````         112
/   \
2    56
/   \
2    18
/   \
2     9
/  \
3    3 ``````