Q: What are the prime factors of the number 3,030,846?

 A: 2, 3, 7, 13, 61

Why are those the prime factors of the number 3,030,846?

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 3,030,846

3,030,846
Factor Arrows
21,515,423
Factor Arrows
3505,141
Factor Arrows
772,163
Factor Arrows
710,309
Factor Arrows
13793
Factor Arrows
1361

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, 7, 13, 61

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 13 x 13 x 61 = 3,030,846

This can also be written as 21 x 31 x 72 x 132 x 611 = 3,030,846

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


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