Q: What are the prime factors of the number 242,630,400?

 A: 2, 3, 5, 12637

Why are those the prime factors of the number 242,630,400?

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 242,630,400

242,630,400
Factor Arrows
2121,315,200
Factor Arrows
260,657,600
Factor Arrows
230,328,800
Factor Arrows
215,164,400
Factor Arrows
27,582,200
Factor Arrows
23,791,100
Factor Arrows
21,895,550
Factor Arrows
2947,775
Factor Arrows
3315,925
Factor Arrows
563,185
Factor Arrows
512,637

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, 5, 12637

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 2 x 2 x 3 x 5 x 5 x 12,637 = 242,630,400

This can also be written as 28 x 31 x 52 x 12,6371 = 242,630,400

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


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