Q: What are the prime factors of the number 56,360,376?

 A: 2, 3, 782783

Why are those the prime factors of the number 56,360,376?

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 56,360,376

56,360,376
Factor Arrows
228,180,188
Factor Arrows
214,090,094
Factor Arrows
27,045,047
Factor Arrows
32,348,349
Factor Arrows
3782,783

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, 782783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 782,783 = 56,360,376

This can also be written as 23 x 32 x 782,7831 = 56,360,376

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


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