Q: What are the prime factors of the number 42,215,454?

 A: 2, 3, 17, 19, 53, 137

Why are those the prime factors of the number 42,215,454?

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 42,215,454

42,215,454
Factor Arrows
221,107,727
Factor Arrows
37,035,909
Factor Arrows
32,345,303
Factor Arrows
17137,959
Factor Arrows
197,261
Factor Arrows
53137

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, 17, 19, 53, 137

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 19 x 53 x 137 = 42,215,454

This can also be written as 21 x 32 x 171 x 191 x 531 x 1371 = 42,215,454

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


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