Q: What are the prime factors of the number 69,854,350?

 A: 2, 5, 1397087

Why are those the prime factors of the number 69,854,350?

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 69,854,350

69,854,350
Factor Arrows
234,927,175
Factor Arrows
56,985,435
Factor Arrows
51,397,087

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, 5, 1397087

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 1,397,087 = 69,854,350

This can also be written as 21 x 52 x 1,397,0871 = 69,854,350

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


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