Q: What are the prime factors of the number 421,261,440?

 A: 2, 3, 5, 219407

Why are those the prime factors of the number 421,261,440?

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 421,261,440

421,261,440
Factor Arrows
2210,630,720
Factor Arrows
2105,315,360
Factor Arrows
252,657,680
Factor Arrows
226,328,840
Factor Arrows
213,164,420
Factor Arrows
26,582,210
Factor Arrows
23,291,105
Factor Arrows
31,097,035
Factor Arrows
5219,407

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, 219407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 219,407 = 421,261,440

This can also be written as 27 x 31 x 51 x 219,4071 = 421,261,440

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


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