Q: What are the prime factors of the number 15,525,056?

 A: 2, 73, 3323

Why are those the prime factors of the number 15,525,056?

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 15,525,056

15,525,056
Factor Arrows
27,762,528
Factor Arrows
23,881,264
Factor Arrows
21,940,632
Factor Arrows
2970,316
Factor Arrows
2485,158
Factor Arrows
2242,579
Factor Arrows
733,323

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, 73, 3323

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 73 x 3,323 = 15,525,056

This can also be written as 26 x 731 x 3,3231 = 15,525,056

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


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