Q: What are the prime factors of the number 248,118,416?

 A: 2, 7, 13, 19, 8969

Why are those the prime factors of the number 248,118,416?

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 248,118,416

248,118,416
Factor Arrows
2124,059,208
Factor Arrows
262,029,604
Factor Arrows
231,014,802
Factor Arrows
215,507,401
Factor Arrows
72,215,343
Factor Arrows
13170,411
Factor Arrows
198,969

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, 7, 13, 19, 8969

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 13 x 19 x 8,969 = 248,118,416

This can also be written as 24 x 71 x 131 x 191 x 8,9691 = 248,118,416

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


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