Q: What are the prime factors of the number 621,472?

 A: 2, 19421

Why are those the prime factors of the number 621,472?

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 621,472

621,472
Factor Arrows
2310,736
Factor Arrows
2155,368
Factor Arrows
277,684
Factor Arrows
238,842
Factor Arrows
219,421

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, 19421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19,421 = 621,472

This can also be written as 25 x 19,4211 = 621,472

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


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