Q: What are the prime factors of the number 7,770,176?

 A: 2, 167, 727

Why are those the prime factors of the number 7,770,176?

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 7,770,176

7,770,176
Factor Arrows
23,885,088
Factor Arrows
21,942,544
Factor Arrows
2971,272
Factor Arrows
2485,636
Factor Arrows
2242,818
Factor Arrows
2121,409
Factor Arrows
167727

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, 167, 727

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 167 x 727 = 7,770,176

This can also be written as 26 x 1671 x 7271 = 7,770,176

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


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