Q: What are the prime factors of the number 61,882,190?

 A: 2, 5, 23, 113, 2381

Why are those the prime factors of the number 61,882,190?

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 61,882,190

61,882,190
Factor Arrows
230,941,095
Factor Arrows
56,188,219
Factor Arrows
23269,053
Factor Arrows
1132,381

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, 23, 113, 2381

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 113 x 2,381 = 61,882,190

This can also be written as 21 x 51 x 231 x 1131 x 2,3811 = 61,882,190

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


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