Q: What are the prime factors of the number 421,554,032?

 A: 2, 17, 1549831

Why are those the prime factors of the number 421,554,032?

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 421,554,032

421,554,032
Factor Arrows
2210,777,016
Factor Arrows
2105,388,508
Factor Arrows
252,694,254
Factor Arrows
226,347,127
Factor Arrows
171,549,831

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, 17, 1549831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 1,549,831 = 421,554,032

This can also be written as 24 x 171 x 1,549,8311 = 421,554,032

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


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