Q: What are the prime factors of the number 2,254,920?

 A: 2, 3, 5, 19, 23, 43

Why are those the prime factors of the number 2,254,920?

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 2,254,920

2,254,920
Factor Arrows
21,127,460
Factor Arrows
2563,730
Factor Arrows
2281,865
Factor Arrows
393,955
Factor Arrows
518,791
Factor Arrows
19989
Factor Arrows
2343

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, 5, 19, 23, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 19 x 23 x 43 = 2,254,920

This can also be written as 23 x 31 x 51 x 191 x 231 x 431 = 2,254,920

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


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