At the age of eleven, I began Euclid, with my brother as my tutor. This was one of the great events of my life, as dazzling as first love. I had not imagined there was anything so delicious in the world. From that moment until I was thirty-eight, mathematics was my chief interest and my chief source of happiness.
Bertrand RUSSELL
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The number 572 is indeed a strange number. In this blog post, we will discuss a few multiplication facts of this number. To begin with, we have
572 × 1.75 = 1001.
If we change the number 1.75 by 3.5 (i.e., increase by 1.75), then
572 × 3.5 = 2002.
Since, 2 × 1.75 = 3.5, we get 572 × 3.5 = 2 × (572 × 1.75) = 2 × 1001 = 2002.
Continuing in this way, we get the following results:
572 × 5.25 = 3003
572 × 7 = 4004
572 × 8.75 = 5005
572 × 10.5 = 6006
572 × 12.25 = 7007
572 × 14 = 8008
572 × 15.75 = 9009
572 × 17.5 = 10010
. . . . . . . . .
To obtain the odd number sequences like 1001, 3003, . . ., we start multiplying 572 by 1.75. We get
572 × 1.75 = 1001.
We now multiply 572 by the triple of 1.75 (i.e., 5.25), to get
572 × 5.25 = 3003.
Continuing in this way,
572 × 8.75 = 5005
572 × 12.25 = 7007
572 × 15.75 = 9009
572 × 19.25 = 11011
572 × 22.75 = 13013
572 × 26.25 = 15015
572 × 29.75 = 17017
572 × 33.25 = 19019
. . . . . . . . .
To obtain the even number sequences like 2002, 4004, . . ., we start multiplying 572 by 3.5. We get
572 × 3.5 = 2002.
Instead of 3.5, if we multiply by its double (i.e., 7), we have
572 × 7 = 4004.
Continuing in this way,
572 × 10.5 = 6006
572 × 14 = 8008
572 × 17.5 = 10010
572 × 21 = 12012
572 × 24.5 = 14014
572 × 28 = 16016
572 × 31.5 = 18018
572 × 35 = 20020
. . . . . . . . .
To get the number sequences like 3003, 6006, . . . , look at the following multiplications:
572 × 5.25 = 3003
572 × 10.5 = 6006
572 × 15.75 = 9009
572 × 21 = 12012
572 × 26.25 = 15015
572 × 31.5 = 18018
. . . . . . . . .
To get the number sequences like 4004, 8008, . . . , look at the following multiplications:
572 × 7 = 4004
572 × 14 = 8008
572 × 21 = 12012
572 × 28 = 16016
572 × 35 = 20020
. . . . . . . . .
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