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Let us consider the factors which sum up to 29:

1x28=28

2x27=54

3x26=78

4x25=100

5x24=120

6x23=132

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11x18=198

12x17=204

13x16=208

14x15=210

15x14=210

16x13=208

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.

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28x1=28

As such, we can seee that 14 and 15 form the largest product, and that as difference between the 2 factors decreases, their multiple increases at a decreasing rate.

1x28=28

2x27=54

3x26=78

4x25=100

5x24=120

6x23=132

.

.

.

11x18=198

12x17=204

13x16=208

14x15=210

15x14=210

16x13=208

.

.

.

28x1=28

As such, we can seee that 14 and 15 form the largest product, and that as difference between the 2 factors decreases, their multiple increases at a decreasing rate.

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