Q: What are the prime factors of the number 373,361,560?

 A: 2, 5, 11, 13, 5021

Why are those the prime factors of the number 373,361,560?

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 373,361,560

373,361,560
Factor Arrows
2186,680,780
Factor Arrows
293,340,390
Factor Arrows
246,670,195
Factor Arrows
59,334,039
Factor Arrows
11848,549
Factor Arrows
1365,273
Factor Arrows
135,021

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, 5, 11, 13, 5021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 13 x 13 x 5,021 = 373,361,560

This can also be written as 23 x 51 x 111 x 132 x 5,0211 = 373,361,560

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


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