Math Lab

Factor Explorer

Factors · Class V

Test if d divides n cleanly.

36
type a value
1100
6
type a value
120
Live values
  • Quotient if exact6
  • Remainder0
  • Is d a factor?1
Live readout
Quotient if exact6
Remainder0
Is d a factor?1
Number36
Test divisor6

Formulas in this lab

  • Quotient if exact
    n/dn/d
  • Remainder
    nmoddn \bmod d
  • Is d a factor?
    nmodd=0?n\bmod d=0?
Tip: A factor leaves no remainder!

Frequently asked questions

What is a factor?

A factor of a number is another number that divides it evenly, leaving no remainder. So 3 is a factor of 12, because 12 divided by 3 is 4 with no remainder. But 5 is not a factor of 12.

How do I use the factor explorer?

Pick a number and a possible divisor. The lab checks if the divisor goes in cleanly and shows the result. Try every divisor from 1 up to the number to find all the factors.

When are factors useful?

If you want to arrange 24 chairs in equal rows for a class function, factors of 24 tell you the row choices: 1, 2, 3, 4, 6, 8, 12 or 24. Factors help in fair sharing.

Did you know about factors?

1 and the number itself are always factors of any number. A number like 12 has many factors, while a prime number like 7 has only two: 1 and 7. That is what makes primes special.