Q: What are the prime factors of the number 164,430,048?

 A: 2, 3, 1712813

Why are those the prime factors of the number 164,430,048?

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 164,430,048

164,430,048
Factor Arrows
282,215,024
Factor Arrows
241,107,512
Factor Arrows
220,553,756
Factor Arrows
210,276,878
Factor Arrows
25,138,439
Factor Arrows
31,712,813

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, 1712813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,712,813 = 164,430,048

This can also be written as 25 x 31 x 1,712,8131 = 164,430,048

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


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