Q: What are the prime factors of the number 61,860,846?

 A: 2, 3, 19, 23, 23593

Why are those the prime factors of the number 61,860,846?

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 61,860,846

61,860,846
Factor Arrows
230,930,423
Factor Arrows
310,310,141
Factor Arrows
19542,639
Factor Arrows
2323,593

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, 19, 23, 23593

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 23 x 23,593 = 61,860,846

This can also be written as 21 x 31 x 191 x 231 x 23,5931 = 61,860,846

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


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