Q: What are the prime factors of the number 644,100,070?

 A: 2, 5, 37, 1740811

Why are those the prime factors of the number 644,100,070?

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 644,100,070

644,100,070
Factor Arrows
2322,050,035
Factor Arrows
564,410,007
Factor Arrows
371,740,811

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, 5, 37, 1740811

We can check our work by multiplying all of the prime factors together: 2 x 5 x 37 x 1,740,811 = 644,100,070

This can also be written as 21 x 51 x 371 x 1,740,8111 = 644,100,070

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


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