Q: What are the prime factors of the number 42,028,776?

 A: 2, 3, 583733

Why are those the prime factors of the number 42,028,776?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 42,028,776

42,028,776
Factor Arrows
221,014,388
Factor Arrows
210,507,194
Factor Arrows
25,253,597
Factor Arrows
31,751,199
Factor Arrows
3583,733

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 583733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 583,733 = 42,028,776

This can also be written as 23 x 32 x 583,7331 = 42,028,776

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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