Q: What are the prime factors of the number 4,470,348?

 A: 2, 3, 401, 929

Why are those the prime factors of the number 4,470,348?

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 4,470,348

4,470,348
Factor Arrows
22,235,174
Factor Arrows
21,117,587
Factor Arrows
3372,529
Factor Arrows
401929

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, 401, 929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 401 x 929 = 4,470,348

This can also be written as 22 x 31 x 4011 x 9291 = 4,470,348

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


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