Q: What are the prime factors of the number 753,376?

 A: 2, 13, 1811

Why are those the prime factors of the number 753,376?

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 753,376

753,376
Factor Arrows
2376,688
Factor Arrows
2188,344
Factor Arrows
294,172
Factor Arrows
247,086
Factor Arrows
223,543
Factor Arrows
131,811

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, 13, 1811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 1,811 = 753,376

This can also be written as 25 x 131 x 1,8111 = 753,376

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


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