Q: What are the prime factors of the number 88,245,950?

 A: 2, 5, 13, 127, 1069

Why are those the prime factors of the number 88,245,950?

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 88,245,950

88,245,950
Factor Arrows
244,122,975
Factor Arrows
58,824,595
Factor Arrows
51,764,919
Factor Arrows
13135,763
Factor Arrows
1271,069

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, 13, 127, 1069

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 127 x 1,069 = 88,245,950

This can also be written as 21 x 52 x 131 x 1271 x 1,0691 = 88,245,950

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


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