Identifying Factors with Division
This Grade 4 Eureka Math skill teaches students to identify whether a number is a factor of another using division. A number b is a factor of a if a divided by b produces a remainder of 0. For example, 4 is a factor of 24 because 24 divided by 4 equals 6 with no remainder, while 7 is not a factor of 30 because 30 divided by 7 leaves a remainder of 2. This divisibility reasoning skill from Chapter 14 of Eureka Math Grade 4 builds the foundation for understanding factors and multiples.
Key Concepts
A number, $b$, is a factor of another number, $a$, if the division of $a$ by $b$ results in a remainder of $0$.
Common Questions
How do you determine if a number is a factor of another?
Divide the larger number by the smaller one. If the remainder is 0, the smaller number is a factor. If there is any remainder, it is not a factor.
Is 4 a factor of 24?
Yes. 24 divided by 4 equals 6 with remainder 0, so 4 is a factor of 24.
Is 7 a factor of 30?
No. 30 divided by 7 equals 4 with a remainder of 2, so 7 is not a factor of 30.
Is 8 a factor of 72?
Yes. 72 divided by 8 equals 9 with remainder 0, so 8 is a factor of 72.
What does it mean for a number to have no remainder?
No remainder means the dividend is exactly divisible by the divisor. The divisor fits into the dividend a whole number of times with nothing left over.
How is finding factors related to multiplication?
If b is a factor of a, there exists a whole number c such that b times c equals a. Division confirms this by checking whether the quotient is a whole number with no remainder.