Q: What are the prime factors of the number 21,334,416?

 A: 2, 3, 19, 149, 157

Why are those the prime factors of the number 21,334,416?

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 21,334,416

21,334,416
Factor Arrows
210,667,208
Factor Arrows
25,333,604
Factor Arrows
22,666,802
Factor Arrows
21,333,401
Factor Arrows
3444,467
Factor Arrows
1923,393
Factor Arrows
149157

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, 19, 149, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 149 x 157 = 21,334,416

This can also be written as 24 x 31 x 191 x 1491 x 1571 = 21,334,416

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


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