Let's roll up our sleeves and solve this. We have 149 and we're going to multiply it by 149, essentially adding 149 to itself 149 times.
Step 1: 0 + 149 = 149
Step 2: 149 + 149 = 298
Step 3: 298 + 149 = 447
Step 4: 447 + 149 = 596
Step 5: 596 + 149 = 745
Step 6: 745 + 149 = 894
Step 7: 894 + 149 = 1043
Step 8: 1043 + 149 = 1192
Step 9: 1192 + 149 = 1341
Step 10: 1341 + 149 = 1490
Step 11: 1490 + 149 = 1639
Step 12: 1639 + 149 = 1788
Step 13: 1788 + 149 = 1937
Step 14: 1937 + 149 = 2086
Step 15: 2086 + 149 = 2235
Step 16: 2235 + 149 = 2384
Step 17: 2384 + 149 = 2533
Step 18: 2533 + 149 = 2682
Step 19: 2682 + 149 = 2831
Step 20: 2831 + 149 = 2980
Step 21: 2980 + 149 = 3129
Step 22: 3129 + 149 = 3278
Step 23: 3278 + 149 = 3427
Step 24: 3427 + 149 = 3576
Step 25: 3576 + 149 = 3725
Step 26: 3725 + 149 = 3874
Step 27: 3874 + 149 = 4023
Step 28: 4023 + 149 = 4172
Step 29: 4172 + 149 = 4321
Step 30: 4321 + 149 = 4470
Step 31: 4470 + 149 = 4619
Step 32: 4619 + 149 = 4768
Step 33: 4768 + 149 = 4917
Step 34: 4917 + 149 = 5066
Step 35: 5066 + 149 = 5215
Step 36: 5215 + 149 = 5364
Step 37: 5364 + 149 = 5513
Step 38: 5513 + 149 = 5662
Step 39: 5662 + 149 = 5811
Step 40: 5811 + 149 = 5960
Step 41: 5960 + 149 = 6109
Step 42: 6109 + 149 = 6258
Step 43: 6258 + 149 = 6407
Step 44: 6407 + 149 = 6556
Step 45: 6556 + 149 = 6705
Step 46: 6705 + 149 = 6854
Step 47: 6854 + 149 = 7003
Step 48: 7003 + 149 = 7152
Step 49: 7152 + 149 = 7301
Step 50: 7301 + 149 = 7450
Step 51: 7450 + 149 = 7599
Step 52: 7599 + 149 = 7748
Step 53: 7748 + 149 = 7897
Step 54: 7897 + 149 = 8046
Step 55: 8046 + 149 = 8195
Step 56: 8195 + 149 = 8344
Step 57: 8344 + 149 = 8493
Step 58: 8493 + 149 = 8642
Step 59: 8642 + 149 = 8791
Step 60: 8791 + 149 = 8940
Step 61: 8940 + 149 = 9089
Step 62: 9089 + 149 = 9238
Step 63: 9238 + 149 = 9387
Step 64: 9387 + 149 = 9536
Step 65: 9536 + 149 = 9685
Step 66: 9685 + 149 = 9834
Step 67: 9834 + 149 = 9983
Step 68: 9983 + 149 = 10132
Step 69: 10132 + 149 = 10281
Step 70: 10281 + 149 = 10430
Step 71: 10430 + 149 = 10579
Step 72: 10579 + 149 = 10728
Step 73: 10728 + 149 = 10877
Step 74: 10877 + 149 = 11026
Step 75: 11026 + 149 = 11175
Step 76: 11175 + 149 = 11324
Step 77: 11324 + 149 = 11473
Step 78: 11473 + 149 = 11622
Step 79: 11622 + 149 = 11771
Step 80: 11771 + 149 = 11920
Step 81: 11920 + 149 = 12069
Step 82: 12069 + 149 = 12218
Step 83: 12218 + 149 = 12367
Step 84: 12367 + 149 = 12516
Step 85: 12516 + 149 = 12665
Step 86: 12665 + 149 = 12814
Step 87: 12814 + 149 = 12963
Step 88: 12963 + 149 = 13112
Step 89: 13112 + 149 = 13261
Step 90: 13261 + 149 = 13410
Step 91: 13410 + 149 = 13559
Step 92: 13559 + 149 = 13708
Step 93: 13708 + 149 = 13857
Step 94: 13857 + 149 = 14006
Step 95: 14006 + 149 = 14155
Step 96: 14155 + 149 = 14304
Step 97: 14304 + 149 = 14453
Step 98: 14453 + 149 = 14602
Step 99: 14602 + 149 = 14751
Step 100: 14751 + 149 = 14900
Step 101: 14900 + 149 = 15049
Step 102: 15049 + 149 = 15198
Step 103: 15198 + 149 = 15347
Step 104: 15347 + 149 = 15496
Step 105: 15496 + 149 = 15645
Step 106: 15645 + 149 = 15794
Step 107: 15794 + 149 = 15943
Step 108: 15943 + 149 = 16092
Step 109: 16092 + 149 = 16241
Step 110: 16241 + 149 = 16390
Step 111: 16390 + 149 = 16539
Step 112: 16539 + 149 = 16688
Step 113: 16688 + 149 = 16837
Step 114: 16837 + 149 = 16986
Step 115: 16986 + 149 = 17135
Step 116: 17135 + 149 = 17284
Step 117: 17284 + 149 = 17433
Step 118: 17433 + 149 = 17582
Step 119: 17582 + 149 = 17731
Step 120: 17731 + 149 = 17880
Step 121: 17880 + 149 = 18029
Step 122: 18029 + 149 = 18178
Step 123: 18178 + 149 = 18327
Step 124: 18327 + 149 = 18476
Step 125: 18476 + 149 = 18625
Step 126: 18625 + 149 = 18774
Step 127: 18774 + 149 = 18923
Step 128: 18923 + 149 = 19072
Step 129: 19072 + 149 = 19221
Step 130: 19221 + 149 = 19370
Step 131: 19370 + 149 = 19519
Step 132: 19519 + 149 = 19668
Step 133: 19668 + 149 = 19817
Step 134: 19817 + 149 = 19966
Step 135: 19966 + 149 = 20115
Step 136: 20115 + 149 = 20264
Step 137: 20264 + 149 = 20413
Step 138: 20413 + 149 = 20562
Step 139: 20562 + 149 = 20711
Step 140: 20711 + 149 = 20860
Step 141: 20860 + 149 = 21009
Step 142: 21009 + 149 = 21158
Step 143: 21158 + 149 = 21307
Step 144: 21307 + 149 = 21456
Step 145: 21456 + 149 = 21605
Step 146: 21605 + 149 = 21754
Step 147: 21754 + 149 = 21903
Step 148: 21903 + 149 = 22052
Step 149: 22052 + 149 = 22201

So, 149*149 = 22201