Q: What are the prime factors of the number 6,420,570?

 A: 2, 3, 5, 13, 101, 163

Why are those the prime factors of the number 6,420,570?

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 6,420,570

6,420,570
Factor Arrows
23,210,285
Factor Arrows
31,070,095
Factor Arrows
5214,019
Factor Arrows
1316,463
Factor Arrows
101163

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, 13, 101, 163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 101 x 163 = 6,420,570

This can also be written as 21 x 31 x 51 x 131 x 1011 x 1631 = 6,420,570

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


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