Q: What are the prime factors of the number 553,620,276?

 A: 2, 3, 11, 1398031

Why are those the prime factors of the number 553,620,276?

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 553,620,276

553,620,276
Factor Arrows
2276,810,138
Factor Arrows
2138,405,069
Factor Arrows
346,135,023
Factor Arrows
315,378,341
Factor Arrows
111,398,031

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, 11, 1398031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 1,398,031 = 553,620,276

This can also be written as 22 x 32 x 111 x 1,398,0311 = 553,620,276

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


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