Q: What are the prime factors of the number 60,650,100?

 A: 2, 3, 5, 7, 3209

Why are those the prime factors of the number 60,650,100?

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 60,650,100

60,650,100
Factor Arrows
230,325,050
Factor Arrows
215,162,525
Factor Arrows
35,054,175
Factor Arrows
31,684,725
Factor Arrows
3561,575
Factor Arrows
5112,315
Factor Arrows
522,463
Factor Arrows
73,209

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, 7, 3209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 3,209 = 60,650,100

This can also be written as 22 x 33 x 52 x 71 x 3,2091 = 60,650,100

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


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