The Strange Number 572 – Few Multiplication Facts

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

Welcome to the blog Math1089 – Mathematics for All.

Glad you came by. I wanted to let you know I appreciate your spending time here at the blog very much. I do appreciate your taking time out of your busy schedule to check out Math1089!

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

. . .     . . .     . . .

Your suggestions are eagerly and respectfully welcome! See you soon with a new mathematics blog that you and I call Math1089 – Mathematics for All!“.

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