Solve 1*3+4*5+7*7+10*9+13*11+16*13+19*15+22*17+25*19+28*21+31*23+34*25+37*27+40*29+43*31+46*33+49*35+52*37

$$1 \times 3+4 \times 5+7 \times 7+10 \times 9+13 \times 11+16 \times 13+19 \times 15+22 \times 17+25 \times 19+28 \times 21+31 \times 23+34 \times 25+37 \times 27+40 \times 29+43 \times 31+46 \times 33+49 \times 35+52 \times 37$$

Evaluate

$$12447$$

Solution Steps

Multiply 1 and 3 to get 3. Multiply 4 and 5 to get 20. Multiply 7 and 7 to get 49. Multiply 10 and 9 to get 90. Multiply 13 and 11 to get 143. Multiply 16 and 13 to get 208. Multiply 19 and 15 to get 285. Multiply 22 and 17 to get 374. Multiply 25 and 19 to get 475. Multiply 28 and 21 to get 588. Multiply 31 and 23 to get 713. Multiply 34 and 25 to get 850. Multiply 37 and 27 to get 999. Multiply 40 and 29 to get 1160. Multiply 43 and 31 to get 1333. Multiply 46 and 33 to get 1518. Multiply 49 and 35 to get 1715. Multiply 52 and 37 to get 1924.

$$3+20+49+90+143+208+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 3 and 20 to get 23.

$$23+49+90+143+208+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 23 and 49 to get 72.

$$72+90+143+208+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 72 and 90 to get 162.

$$162+143+208+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 162 and 143 to get 305.

$$305+208+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 305 and 208 to get 513.

$$513+285+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 513 and 285 to get 798.

$$798+374+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 798 and 374 to get 1172.

$$1172+475+588+713+850+999+1160+1333+1518+1715+1924$$

Add 1172 and 475 to get 1647.

$$1647+588+713+850+999+1160+1333+1518+1715+1924$$

Add 1647 and 588 to get 2235.

$$2235+713+850+999+1160+1333+1518+1715+1924$$

Add 2235 and 713 to get 2948.

$$2948+850+999+1160+1333+1518+1715+1924$$

Add 2948 and 850 to get 3798.

$$3798+999+1160+1333+1518+1715+1924$$

Add 3798 and 999 to get 4797.

$$4797+1160+1333+1518+1715+1924$$

Add 4797 and 1160 to get 5957.

$$5957+1333+1518+1715+1924$$

Add 5957 and 1333 to get 7290.

$$7290+1518+1715+1924$$

Add 7290 and 1518 to get 8808.

$$8808+1715+1924$$

Add 8808 and 1715 to get 10523.

$$10523+1924$$

Add 10523 and 1924 to get 12447.

$$12447$$

Factor

$$3^{3}\times 461$$