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Q: What is the greatest number of digits a product could have if a 2 digit factor is multiplied by a 5 digit number?

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A product.

If it end with a five or zero, the number is the product of a factor multiplied by 5.

Factor

To have a product, you need two numbers. The greatest common factor is one number.

Factor?

Factor

The factor is 7. The product is 49.

The Greatest Common Factor of four is four. This is because the highest number that can be multiplied by another number to make four (the factor), is four. When four is multiplied by one, it makes four. Even though two multiplied by two makes four, it is not the highest/greatest number that can be multiplied to make four.

is the number that is multiplied to give the product

The GCF of 21 and 90 is 3.

The GCF of 18 and 35 is 1.

factor times factor equals product

As the numbers 1 to 99 are multiplied together, one factor of the product will be 10 which means the last digit must be 0 (a zero). Without working out the product, it can be seen that every multiple of 5 in the original numbers can be paired up with an even number (that is not a multiple of five) and multiplied together (which produces a multiple of 10) which are all factors of the product together; thus the product will ends with that number of zeros: there are 19 multiples of 5 in the numbers 1-99, so the last 19 digits of the product are all 0 (zero).

Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.

The terms (factors) used in multiplication are the multiplicand (the factor being multiplied), the multiplier (the factor that the multiplicand is multiplied by) and the product (the answer, or results of the multiplication). Any time either of the factors is greater than the other by at least one, the product will always be greater than the largest factor.

a factor or a divisor

252

A perfect square

4 x 578 = 2312 8 x 754 = 6032

If they are multiples of 9, the digits add up to a multiple of 9.

3

150

5 x 7 = 35

Each number is called a factor. The answer is the product.

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The product of those two numbers is the answer when they are multiplied together.