Q: What are the prime factors of the number 3,762,944?

 A: 2, 14699

Why are those the prime factors of the number 3,762,944?

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 3,762,944

3,762,944
Factor Arrows
21,881,472
Factor Arrows
2940,736
Factor Arrows
2470,368
Factor Arrows
2235,184
Factor Arrows
2117,592
Factor Arrows
258,796
Factor Arrows
229,398
Factor Arrows
214,699

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, 14699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 14,699 = 3,762,944

This can also be written as 28 x 14,6991 = 3,762,944

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


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