Q: What are the prime factors of the number 69,881,736?

 A: 2, 3, 599, 4861

Why are those the prime factors of the number 69,881,736?

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 69,881,736

69,881,736
Factor Arrows
234,940,868
Factor Arrows
217,470,434
Factor Arrows
28,735,217
Factor Arrows
32,911,739
Factor Arrows
5994,861

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, 599, 4861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 599 x 4,861 = 69,881,736

This can also be written as 23 x 31 x 5991 x 4,8611 = 69,881,736

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


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