Solve (4*69+4*73+82+85+2*76+88+3*61+3*90+3*61+4*76+3*82+6*66+4*67+3*73+3*90+4*87+3*85+3*78+3*88+3*77+4*81+4*83+3*84+4*87+3*91)

$$(4 \times 69+4 \times 73+82+85+2 \times 76+88+3 \times 61+3 \times 90+3 \times 61+4 \times 76+3 \times 82+6 \times 66+4 \times 67+3 \times 73+3 \times 90+4 \times 87+3 \times 85+3 \times 78+3 \times 88+3 \times 77+4 \times 81+4 \times 83+3 \times 84+4 \times 87+3 \times 91)$$

Evaluate

$$6175$$

Solution Steps

Multiply 4 and 69 to get 276. Multiply 4 and 73 to get 292. Multiply 2 and 76 to get 152. Multiply 3 and 61 to get 183. Multiply 3 and 90 to get 270. Multiply 3 and 61 to get 183. Multiply 4 and 76 to get 304. Multiply 3 and 82 to get 246. Multiply 6 and 66 to get 396. Multiply 4 and 67 to get 268. Multiply 3 and 73 to get 219. Multiply 3 and 90 to get 270. Multiply 4 and 87 to get 348. Multiply 3 and 85 to get 255. Multiply 3 and 78 to get 234. Multiply 3 and 88 to get 264. Multiply 3 and 77 to get 231. Multiply 4 and 81 to get 324. Multiply 4 and 83 to get 332. Multiply 3 and 84 to get 252. Multiply 4 and 87 to get 348. Multiply 3 and 91 to get 273.

$$276+292+82+85+152+88+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 276 and 292 to get 568.

$$568+82+85+152+88+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 568 and 82 to get 650.

$$650+85+152+88+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 650 and 85 to get 735.

$$735+152+88+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 735 and 152 to get 887.

$$887+88+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 887 and 88 to get 975.

$$975+183+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 975 and 183 to get 1158.

$$1158+270+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 1158 and 270 to get 1428.

$$1428+183+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 1428 and 183 to get 1611.

$$1611+304+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 1611 and 304 to get 1915.

$$1915+246+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 1915 and 246 to get 2161.

$$2161+396+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 2161 and 396 to get 2557.

$$2557+268+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 2557 and 268 to get 2825.

$$2825+219+270+348+255+234+264+231+324+332+252+348+273$$

Add 2825 and 219 to get 3044.

$$3044+270+348+255+234+264+231+324+332+252+348+273$$

Add 3044 and 270 to get 3314.

$$3314+348+255+234+264+231+324+332+252+348+273$$

Add 3314 and 348 to get 3662.

$$3662+255+234+264+231+324+332+252+348+273$$

Add 3662 and 255 to get 3917.

$$3917+234+264+231+324+332+252+348+273$$

Add 3917 and 234 to get 4151.

$$4151+264+231+324+332+252+348+273$$

Add 4151 and 264 to get 4415.

$$4415+231+324+332+252+348+273$$

Add 4415 and 231 to get 4646.

$$4646+324+332+252+348+273$$

Add 4646 and 324 to get 4970.

$$4970+332+252+348+273$$

Add 4970 and 332 to get 5302.

$$5302+252+348+273$$

Add 5302 and 252 to get 5554.

$$5554+348+273$$

Add 5554 and 348 to get 5902.

$$5902+273$$

Add 5902 and 273 to get 6175.

$$6175$$

Factor

$$5^{2}\times 13\times 19$$