Q: What are the prime factors of the number 5,050,152?

 A: 2, 3, 70141

Why are those the prime factors of the number 5,050,152?

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 5,050,152

5,050,152
Factor Arrows
22,525,076
Factor Arrows
21,262,538
Factor Arrows
2631,269
Factor Arrows
3210,423
Factor Arrows
370,141

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, 70141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 70,141 = 5,050,152

This can also be written as 23 x 32 x 70,1411 = 5,050,152

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


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