Q: What are the prime factors of the number 106,432,370?

 A: 2, 5, 11, 967567

Why are those the prime factors of the number 106,432,370?

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 106,432,370

106,432,370
Factor Arrows
253,216,185
Factor Arrows
510,643,237
Factor Arrows
11967,567

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, 967567

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 967,567 = 106,432,370

This can also be written as 21 x 51 x 111 x 967,5671 = 106,432,370

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


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